Curriculum Vitae

Jenő Szirmai

 01.09.2018

 

                Personal information

 

Born in 1964 in Budapest (Hungary). Father: Jenő Szirmai, mother: Eleonóra Fischer,

sister: Eleonóra Szirmai. Married (1990) to Csilla Máté, 4 children: Jenő (1991),

Boldizsár (1995), Csilla (1997), Róza (2012).

Office address: Department of Geometry, BUTE

                        H-1521 Budapest.

                        Tel: (0036) (1) 463-2645 Fax: (0036) (1) 463-1050.

Parmanent address: Rákóczi u. 10. H-2092. Budakeszi, Hungary.

E-mail: szirmai@math.bme.hu.

www.math.bme.hu/~szirmai

 

            Education

 

Studied mathematics, physics and descriptive geometry at the Eötvös Loránd

University of Budapest (ELUB), Faculty of Natural Sciences from 1984 to 1989.

Diploma of high-school teacher in 1989.

 

            Scientific degrees

 

PhD at Technical University of Budapest , 1998. with dissertation "Metric realizations of combinatorial tilings in hyperbolic space" (in  Hungarian) TUB 1998.

 

            Employment

 

Teacher at Gymnasium Városmajor in Budapest (1988-1992).

Assistant at TUB et Department of Geometry (1992-1998).

Assistant professor at TUB at Department of Geometry from 1998.

From 2000 Associate Professor at TUB at Dept. of Geometry

Habilitation, 2017.

Deputy head of department of Geometry 2016-

.

            Languages

 

Hungarian mather tongue.

Russian (1989), German (1997), Spanish (1989),

English.


Supervisory activity:

  1. PhD studet: Benedek Schulzt (2012-2015 ), pre-degree certificate stating that all course-units have been completed.
  2. PhD student: Géza Csima (2012-2015 ), pre-degree certificate stating that all course-units have been completed, Doctor of Philosophy (PhD) 2018.
  3. PhD student: Robert Thijs Kozma (2015- ).
  4. BSC thesis BME: Benedek Schultz (2010), Géza Csima (2010), János Pallagi (2011), Borza Ágnes (2015), Kulich Ágnes (2017).
  5. MSC thesis BME: Benedek Schultz (2012), Géza Csima (2012), János Pallagi (2013), Vránics Angéla (2017).
  6. János Pallagi: TDK essay , Budapest University of Technology, 2012.

Refereeing work:

Journal of Geometry, Journal for Geometry and Graphics, Acta Math. Hungarica, Mathematical Communication ,

Glasnik Matematicki, Aequationes mathematicae, CAGD, Pollack Periodica, Beiträge zur Algebra und Geometrie, Miskolc Mathematical Notes.

 

Professional Activities

 

Reviewer of Zentralblatt für Mathematik.

Member of the editorial board of Studies of the University of Zilina

 

            Awards:

 

1989   Prize for the results presented in the National Scientific Conference of  Students

2000   Won the Julius Strommer prize of the J. Strommer International Foundation of Geometry

2009   On the opinion of students won the “Theacher of the year” prize.

2013   On the opinion of students won the “Theacher of the year” prize.

2018   On the opinion of students won the “Theacher of the year” prize.

  

            Main research areas:

Geometric transformation groups and their applications in crystallography, in discrete and differential geometry;

Crystallography in non-Euclidean geometries,

Algorithms for metric realizations of space tilings;

Bolyai-Lobachevskian hyperbolic geometry.

Construction of tilings in Euclidean plane and space,

Algoritmical approach of tilings in various planes,

Visualization of homogeneous geometries by computer,

Applications of geometry,

 

Visits:

Guest researches at University of Potsdam, collaboration with Prof.Dr.Benno Klotzek (1995).

Guest researches at RWTH Aachen, collaboration with Prof.Dr.W. Plesken (2000).

Guest researches at TU.Wien, collaboration with Prof.Dr. H. Stachel (2003).

Guest researches at TU.Wien, collaboration with Prof.Dr. H. Stachel (2005).

Guest researches at TU.Wien, collaboration with Prof.Dr. H. Stachel (2007).

Guest researches at TU.Wien, collaboration with Prof.Dr. H. Stachel (2010).

Visiting Professor, TU. Wien Institute of Discrete Mathematics and Geometry (2011).

 

Membership:

Bolyai J. Math. Society since 1992

Member of Public Corporation of the Hungarian Academy of Sciences since 2004

Member of  International Soc. for Geometry and Graphics,

Secretary of the Kuratorium of the Gyula Strommer Fundation,

Member of  Hungarian Soc. for Geometry and Graphics since 2013.

 

Publications

Books:

 

Informations:  http://www.math.bme.hu/~szirmai/publ.html

 vagy az MTMT-MTA adatbázisban:

https://vm.mtmt.hu/search/slist.php?nwi=1&inited=1&ty_on=1&url_on=1&cite_type=2&orderby=3D1a&location=mtmt&stn=1&AuthorID=10011668&Scientific=1.

           

[1]       Á. G. Horváth – J. Szirmai, Nemeuklideszi geometriák modelljei,

            Typotex Kiadó, Budapest (2004), ISBN: 963 9548 40 5.

Elektronikus kiadás:

Typotex kiadó, Budapest [2009]: ISBN-13 978-963-9548-40-4.

[2]       Szirmai J., Kombinatorikus térkikövezések metrikus realizációi a hiperbolikus térben.

            PhD Disszertáció, BME (1997).

[3]       Szirmai J., Gömbkitöltések és fedések Thurston geometriákban, valamint magasabb dimenziós hiperbolikus terekben.

            Habilitációs értekezés, BME (2016).

           

Scientific publications::

[4]       J. Szirmai, Density upper bound of congruent and non-congruent hyperball packings generated by truncated regular simplex tilings,

Rendiconti del Circolo Matematico di Palermo Series 2, 67 [2018],  307-322,

DOI: 10.1007/s12215-017-0316-8,  arXiv:1510.03208.

[5]       J. Szirmai, Hyperball packings in hyperbolic 3-space,

Matematički Vesnik, 70/3 (2018), 211-221, arXiv: 1405.0248.

[6]       E. Molnár - J. Szirmai, Top dense hyperbolic ball packings and coverings for complete Coxeter orthoscheme groups,

Publications de l'Institut Mathématique, 103(117)  [2018], 129-146,

DOI:  10.2298/PIM1817129M,  arXiv: 1612.04541.

[7]       J. Szirmai, Horoball packings related to the 4-dimensional hyperbolic 24 cell honeycomb {3,4,3,4},

Filomat [2018],  32/1, 87-100, DOI: 10.2298/FIL1801087S, arXiv: 1502.02107.

[8]       E. Molnár – I. Prok - J. Szirmai, On maximal homogeneous 3-geometries and their visualization, 

Universe , 3/4, (2017),  83, 12 pages; DOI:10.3390/universe3040083.

[9]       J. Szirmai, Packings with horo- and hyperballs generated by simple frustum orthoschemes,

Acta Mathematica Hungarica, 152 (2), (2017), 365–382 DOI:10.1007/s10474-017-0728-0, arXiv: 1505.03338.

[10]     E. Molnár – P. Pech - J. Szirmai, Simson-Wallace locus in d-dimensional projective-metric space,

Journal of Geometry, 108, 2017),  393–409, DOI: 10.1007/s00022-016-0346-y.

[11]     E. Molnár - J. Szirmai – A. Vesnin, Geodesic and translation ball packings

generated by prismatic tesselations of  the universal cover of SL(2,R),

Results in Mathematics71(3), (2017), 623-642, DOI: 10.1007/s00025-016-0542-y.

[12]     E. Molnár - J. Szirmai, On hyperbolic cobweb manifolds,

Studies of the University of  Zilina, Mathematical Series, 28 (2016), 43-52,

arXiv: 1701.06757.

[13]     J. Szirmai, Non-periodic geodesic ball packings to infinite regular prism tilings in SL(2,R) space,

Rocky Mountain Journal of Mathematics, 46/3, (2016), 1055--1070,  arXiv: 1403.3192.

[14]     G. Csima -- J. Szirmai, Isoptic surfaces of convex polyhedra,

Computer Aided Geometric Design (CAGD) , 47,  (2016), 55-60,

DOI: 10.1016/j.cagd.2016.03.001  arXiv:1510.07718.

[15]     J. Szirmai, The optimal hyperball packings related to the smallest compact arithmetic 5-orbifolds,

Kragujevac Journal of Mathematics, 40(2), (2016), 260-270,

DOI:10.5937/KgJMath1602260S, arXiv: 1306.4221.

[16]     R. T. Kozma -- J. Szirmai, Symmetries of horoball packings related to famous 3-dimensional hyperbolic tilings,

Symmetry: Culture and Science, Vol. 27, Number 4, [2016], 261-277.

[17]     B. Schultz - J. Szirmai, Densest geodesic ball packings to  space groups generated by screw motions,

Mediterranean Journal of Mathematics, 13/2, (2016), 775–788. DOI: 10.1007/s00009-014-0513-z,  arXiv: 1405.5441 .

[18]     J. Szirmai, The least dense hyperball covering to the regular prism tilings in the hyperbolic n-space,

Annali di Matematica Pura ed Applicata,  195, (2016) 235-248,  DOI: 10.1007/s10231-014-0460-0, arXiv: 1312.2328.

[19]     E. Molnár – I. Prok - J. Szirmai, The Euclidean visualization and projective modelling of the 8 Thurston geometries,

Studies of the University of Zilina, Mathematical Series 27, (2015), 35-62.

[20]     R. T. Kozma – J. Szirmai, New Lower Bound for the Optimal Ball Packing Density of Hyperbolic 4-space,

Discrete and Computational Geometry   53, (2015), 182--198, DOI: 10.1007/s00454-014-9634-1,  arXiv: 1401.6084.

[21]     A. Cavichioli – E. Molnár – F. Spaggiari – J. Szirmai, Some tetrahedron manifolds with Sol geometry.

Journal of Geometry, 105/3, (2014), 601-614, DOI: 10.1007/s00022-014-0222-6.

[22]       J. Szirmai, A candidate to the densest packing with equal balls in the Thurston geometries,

Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry),

55/2, (2014), 441- 452, DOI: 10.1007/s13366-013-0158-2, arXiv:1210.2202 .

[23]     J. Szirmai, Regular prism tilings in SL(2,R) space,  

Aequationes mathematicae  88/1 – 2,  (2014), 67-79, DOI: 10.1007/s00010-013-0221-y, arXiv:1206.4408 .

[24]     J. Szirmai, Simply transitive geodesic ball packings to  space groups generated by glide reflections,

Annali di Matematica Pura ed Applicata, 193/4, (2014), 1201-1211, DOI: 10.1007/s10231-013-0324-z,  arXiv1206.0566.

[25]     E. Molnár - J. Szirmai – A. Vesnin, The optimal Packings by translation balls in SL(2,R),

Journal of Geometry, 105 (2), (2014), 287-306, DOI: 10.1007/s00022-013-0207-x.

[26]     G. Csima - J. Szirmai, Isoptic curves of conic sections in constant curvature geometries, 

Mathematical Communications, 19 (2014), 277-290 arXiv: 1301.6991.

[27]     E. Molnár - J. Szirmai: Volumes and geodesic ball packings to the regular prism tilings in SL(2,R) space

Publ. Math. Debrecen, 84/1-2 (2014), 189–203, DOI: 10.5486/PMD.2014.5832,  arXiv: 1304.0546.  

[28]     G. Csima - J. Szirmai, On the isoptic hypersurfaces in the n-dimensional Euclidean space,

KoG (Scientific and professional journal of Croatian Society for Geometry and Graphics), 17, (2013), 53-57.

[29]     J. Szirmai, On lattice coverings of the Nil space by congruent geodesic balls,

            Mediterranean Journal of Mathematics, Vol. 10. No. 2, (2013), 953-970, DOI: 10.1007/s00009-012-0211-7,  arXiv:1105.1986.

[30]     J. Szirmai, Horoball packings to the totally asymptotic regular simplex in the hyperbolic n-space,  

Aequationes mathematicae,  85 (2013), 471–482,  DOI: 10.1007/s00010-012-0158-6,  arXiv:1112.1969.

[31]     J. Szirmai, Geodesic ball packings in  space for generalized Coxeter space groups,   

Mathematical Communications, 17/1,  (2012), 151-170.

[32]     B. Odehnal - J. Szirmai, Packing Coxeter honeycombs with sequences of spheres, 

Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry), 54/1  (2013), 441 452, DOI: 10.1007/s13366-012-0110-x.

[33]     J. Szirmai, Lattice-like translation ball packings in Nil space,

Publ. Math.Debrecen, 80/3-4, [2012], 427-440, DOI: 10.5486/PMD.2012.5117.

[34]     J. Szirmai, Horoball packings and their densities by generalized simplicial density function in the hyperbolic space,

Acta Mathematica Hungarica, 136/1-2, [2012], 39-55, DOI: 10.1007/s10474-012-0205-8, arXiv:1105.4315.

[35]    E. Molnár, J. Szirmai, Classification of Sol lattices,

Geometriae Dedicata,   161, (2012), 251-275, DOI: 10.1007/s10711-012-9705-5,   arXiv:1106.4646.

[36]     J. Pallagi - B. Schultz - J. Szirmai, On regular square prism tilings in SL(2,R) space,

            KoG (Scientific and professional journal of Croatian Society for Geometry and Graphics)  16,  [2012], 36-42.

[37]     R. T. Kozma – J. Szirmai, Optimally Dense Packings for Fully Asymptotic Coxeter Tilings by Horoballs of Different Types,

Monatshefte für Mathematik, 168, [2012],27-47 DOI: 10.1007/s00605-012-0393-x, arXiv:1007.0722.

[38]     J. Szirmai - J. Pallagi, Visualization of the Dirichlet-Voronoi cells in  space,

Pollack Periodica (International Journal for Engineering and Information Sciences), Vol. 7, (2012) Supp l. 95-104 DOI: 10.1556/Pollack.7.2012.S.9.

[39]     J. Szirmai - G. Csima, Isoptic curves to parabolas in the hyperbolic plane,

Pollack Periodica (International Journal for Engineering and Information Sciences), Vol. 7, (2012) Supp l. 55-64 DOI: 10.1556/Pollack.7.2012.S.5.

[40]     J. Szirmai - B. Schultz, On parallelohedra of Nil-space,

Pollack Periodica (International Journal for Engineering and Information Sciences), Vol. 7, (2012) Supp l. 129-136 DOI: 10.1556/Pollack.7.2012.S.12.

[41]     J. Pallagi - B. Schultz - J. Szirmai, Equidistant surfaces in Nil space,

            Studies of the University of Zilina, Mathematical Series, 25, [2011), 31-40.

[42]     J. Pallagi - B. Schultz - J. Szirmai, Equidistant surfaces in  space,

            KoG (Scientific and professional journal of Croatian Society for Geometry and Graphics) 15, [2011], 3-6.

[43]     E. Molnár- J. Szirmai - J. R. Weeks, 3-simplex tilings, splitting orbifolds and manifolds, 

Symmetry: Culture and Science, Vol. 22, Numbers 3-4, [2011], 435-459.

[44]    J. Katona - E. Molnár- I. Prok - J. Szirmai, Higher-dimensional central projection into 2-plane with visibility and applications, 

            Kragujevac Journal of Mathematics, Vol. 35, Number 2, [2011], 249-263.

[45]     J. Szirmai, Geodesic ball packings in  space for generalized Coxeter space groups, 

Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry) 52/2 (2011), 413 430, DOI: 10.1007/s13366-011-0023-0

[46]     G. Csima - J. Szirmai, Isoptic curves in hyperbolic plane, 

Studies of the University of Zilina, Mathematical Series. Vol. 24 (2010), 15-22.

[47]     Szirmai, J. The densest translation ball packing by fundamental lattices in Sol space,

Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry) 51 No. 2 (2010), 353 373.           

[48]     E. Molnár - I. Prok - J. Szirmai, Szimmetrikus kövezések végtelen sorozata a hiperbolikus térben,

            Matematikai Lapok 16, Numbers 2, [2010], 79-92.

[49]       J. Pallagi - B. Schultz - J. Szirmai, Visualization of geodesic curves, spheres and equidistant surfaces in  space,

            KoG (Scientific and professional journal of Croatian Society for Geometry and Graphics)  14,  [2010], 35-40.

[50]     E. Molnár- J. Szirmai, Symmetries in the 8 homogeneous 3-geometries.

            Symmetry: Culture and Science, Vol. 21, Numbers 1-3,  [2010], 87-117.

[51]     E. Molnár - J. Szirmai – A. Vesnin, Projective metric realizations of cone-manifolds with singularities along 2-bridge knots and links,

            Journal of Geometry,  95 ,  (2009],  91–133.

[52]     E. Molnár- J. Szirmai, Generalized polygonal Wankel engines, Periodica Polytechnika Ser.Transp. Eng. 37/1-2, [2009], 29-32.

[53]     J. Szirmai, Extremal ball and horoball packings to the regular tilings by infinitely centred cells in the hyperbolic d-space,

Studies of the University of Zilina, Mathematical Series. Vol. 22 (2008), 39-50.

[54]     E. Molnár - J. Szirmai, Minimally presented orientable splitting 3-manifold with one cusp,

Studies of the University of Zilina, Mathematical Series. Vol. 22 (2008), 19-30.

[55]     J. Szirmai, The optimal ball and horoball packings to the Coxeter honeycombs  in the hyperbolic d-space,

Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry).

            48 No. 1 (2007), 35-47.

[56]     J. Szirmai, The densest geodesic ball packing by a type of Nil lattices,

Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry).

48 No. 2 (2007), 383-397.

[57]     J. Szirmai, The regular p-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space, 

Acta Mathematica Hungarica 111 (1-2) (2006), 65-76.

[58]     E. Molnár- J. Szirmai, On Nil crystallography, Symmetry: Culture and Science Volume 17, Numbers 1-2, pages 55-74 (2006).

[59]     J. Szirmai: The regular prism tilings and their optimal hyperball packings in the hyperbolic n-space,

Publ. Math. Debrecen, 69 (1-2) (2006), 195-207.

[60]     I. Prok - J. Szirmai, Optimal ball packings for crystallographic groups of cubic systems and their visualization by computer, 

Zeitschrift für Kristallographie, 221/1 (2006), 99-103.

[61]     E. Molnár - I. Prok - J. Szirmai, Classification of tile-transitive 3-simplex tilings and their realizations in homogeneous geometries,

Non-Euclidean Geometries, János Bolyai Memorial Volume, Editors: A. Prékopa and E. Molnár, Mathematics and Its Applications, Vol. 581, Springer (2006), pp. 321--363.

[62]     J. Szirmai: Horoball packings for the Lambert-cube tilings in the hyperbolic 3-space,

Beiträge zur Algebra und Geometrie (Contributions to Algebra und Geometry) 46 No. 1 (2005), 43-60.

[63]     J. Szirmai,  The optimal ball and horoball packings of the Coxeter tilings in the hyperbolic 3-space,

Beiträge zur Algebra und Geometrie (Contributions to Algebra and Geometry)  46 No. 2  (2005), 545-558.

[64]     J. Szirmai: Derivation of a class of complete orthoschemes by Coxeter's method in the hyperbolic 4-space,

Studies of the University of Zilina, Mathematical Series. Vol. 18/1  (2004),  49-62.

[65]     J. Szirmai: Flächentransitiven Lambert Würfeltypen und ihre optimale Kugelpackungen ,

Acta Mathematica Hungarica, (2003),  100 (1-2),  101-116.

[66]     I. Prok - J. Szirmai, Simply transitive optimal ball packings for the orientable crystallographic groups of the cubic system,

Periodica Polytechnica Ser. Mech. Eng. (2003), 47/1  57-64.

[67]     J. Szirmai: Determining the optimal Horoball packings to some famous tilings in the hyperbolic 3-space,

Studies of the University of  Zilina, Mathematical Series. Vol. 16/1 (2003), 89-98.

[68]     E. Molnár - I. Prok - J. Szirmai, D-V cells and fundamental domains for crys-tallographic groups, algorithms and graphic realizations, Mathematical and Computer Modelling, (2003),  38,  929-943.

[69]     E. Molnár - I. Prok - J. Szirmai, Bestimmung der transitiven optimalen Kugelpackungen für die 29 Raumgruppen, die Coxetersche Spiegelungs-untergruppen enthalten,

Studia Sci. Math. Hungarica, (2002), 39  443--483.

[70]     E. Molnár - T. Schulz - J. Szirmai, Periodic and aperiodic figures on the plane by higher dimensions,

Journal for Geometry and Graphics (2001), Vol 5, No 2. 133-144.

[71]     Máté Cs. - Szirmai J., A kockarendszerhez tartozó tércsoportok egyszeresen tranzitív gömbkitöltéseinek meghatározása számítógéppel,

            Alkalmazott Matematikai Lapok , 19 (1999), 87-111.

[72]     E. Molnár - I. Prok - J. Szirmai, The Gieseking manifold and its surgery orbifolds,

            Novi Sad, Journal of Mathematics (1999), Vol 29, No. 3. 187-197.

[73]     E. Molnár - I. Prok - J. Szirmai, Classification of solid transitive simplex tilings in simply connected 3-spaces, Part II. Metric realizations of the maximal simplex tilings,

            Periodica Mathematica Hungarica. 35 (1-2) (1997), 47-94.

[74]     J. Szirmai, Über eine unendliche Serie der Polyederpflasterungen von flchentransitiven Bewegungsgruppen,

            Acta Mathematica Hungarica, 73 (3) (1996), 247-261.

[75]     J. Szirmai, Metrische Realisierungen von zwei Familien der dreidimension-alen körpertransitiven Symplexpflasterungen,

            Annales Univ. Sci. Budapest. Sect. Math. 39, (1996), 145-162.

[76]     E. Molnár - J. Szirmai, Einige Pflasterungen des hyperbolischen Raumes mittels flächentransitiver Bewegungsgruppen,

            Annales Univ. Sci. Budapest. Sect. Math. 38, (1995), 95-108.

[77]     J. Szirmai, Typen von flächentransitiven Würfelpflasterungen,

            Annales Univ. Sci. Budapest. Sect. Math. 37, (1994) 171-184.

[78]     Szirmai J., Néhány tércsoport optimális gömbkitöltése,

            Alkalmazott Matematikai Lapok 17 (1993), 87-99.

[79]     J. Szirmai, Optimale Kugelpackungen für die Raumgruppen F23, P432 und F432,

            Periodica Polytechnika Ser. Mech. Eng.  36, (1992), 317-331.

Scientific conference publications

[80]     B. Schultz - J. Szirmai, Interesting surfaces in Nil space,

Proceedings of 8th International Conference on Applied Informatics,  

(ICAI) Eger, (2010) Hungary, Vol.1 185-192.

[81]     J. Szirmai, Visualization of the geodesic ball packings in the Nil geometry

Proceedings of 7th International Conference on Applied Informatics

(ICAI) Eger, (2007) Hungary, 163-174.

[82]     J. Szirmai: Iterationsserien der Dirichlet-Voronoi Zerlegungen,

Proceedings of „Dresden Symposium Geomety ”. (2003), 347-355.

[83]     E. Molnár - I. Prok - J. Szirmai, Classification of hyperbolic manifolds and related orbifolds with charts up to two ideal simplices, Proceedings of Internationale Tagung über Geometrie, Algebra und Analysis Balatonfüred, Hungary, (1999), 293-315.

[84]     E. Molnár - I. Prok - J. Szirmai, Two families of fundamental 3-simplex tilings and their realizations in various 3-spaces, Proceedings of International Scientific Conference of Mathematics, Zilina, Slovakia, (1998) Vol 2, 43-64.

[85]     J. Szirmai, Ein Computeralgorithmus für die Bestimmung der einfach transitiven optimalen Kugelpackungen unter zum Würfelsystem gehörigen Raumgruppen,

Proceedings of International Conference on Applied Informatics Eger-Noszvaj, Hungary, (1997) 285-301.

[86]     G. Csima - J. Szirmai, Isoptic curves of generlized conic sections in hyperbolic geometry, isoptics in Euclidean space,

Proceedings of the PhD Conference, Doctoral School of Mathematics an Computer Science,

Budapest University of Technology and Economics,  [2013] , 51-55, ISBN 978-963-313-085-8.

[87]     B. Schultz - J. Szirmai, Densest geodesic ball packings to  space groups generated by rotations,

Proceedings of the PhD Conference, Doctoral School of Mathematics an Computer Science,

Budapest University of Technology and Economics,  [2013] , 56-61, ISBN 978-963-313-085-8.

[88]     J. Katona - E. Molnár- I. Prok - J. Szirmai, Visualization with visibility of higher dimensional and non-Euclidean geometries,

Proceedings of the 16th International Conference on Geometry and Graphics, H. Schröcker, M. Husty (ed.); Innsbruck University Press, Innsbruck [2014], No. 60, 10 pages, ISBN: 978-3-902936-46-2.

[89]     E. Molnár- I. Prok - J. Szirmai, Visual mathematics and geometry, the "final" step:  projective geometry through linear algebra,

Proceedings of the 5th International  Scientific Colloquium  Mathematics and Children, (Teaching and Learning Mathematics) / Kolar-Begović, Z., Kolar-Šuper, R., Đurđević Babić, I. (ed.). - Osijek ) [2015], 239-249 , ISBN: 978-953-197-586-5.

[90]     E. Molnár – P. Pech - J. Szirmai, On visualization of homogeneous 3-geometries and their Simson-Wallace locus for simplices via exterior calculus,

Proceedings of the Czech-Slovak Conference on Geometry and Graphics,

A. Kolcun, M. Lávicka, M. Zácek [ed]; Ostravská Univerzita (2016), 129-144, ISBN 978-80-7464-874-8 (online), ISBN 978-80-7464873-1 (CD).

[91]     E. Molnár- I. Prok - J. Szirmai, The football {5, 6, 6} and its geometries: from a sport tool to fullerens and further,

Proceedings of the 6th International  Scientific Colloquium  Mathematics and Children, (Mathematics Education as a Science and a Profession) / Kolar-Begović, Z., Kolar-Šuper, R., Jukić Matić, I. (ed.). – Zagreb-ELEMENT ) [2017], 66-87 , ISBN: 978-953-197-592-6, arXiv: 1703.02264.

[92]     E. Molnár – J. Szirmai, Non-Euclidean polyhedral manifolds, models and visualization,

Proceedings of the Slovak-Czech Conference on Geometry and Graphics,

D. Velichová, M. Lávicka, S. Tomiczková [ed]; Vydavatelstvo SCHK, Bratislava, (2017), 133-140, ISBN 978-80-89597-78-9.

[93]     E. Molnár – J. Szirmai, Hyperbolic space forms with crystallographic applications and visualization, In: Cocchiarella L. (eds) ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, vol 809. Springer, (2018), 320-337, DOI: 10.1007/978-3-319-95588-9_26.

Accepted scientific publications:

 

[94]     G. Csima - J. Szirmai, Isoptic curves of generalized conic sections in the hyperbolic plane,

            Ukrainian Mathematical Journal  (2017),  arXiv: 1504.06450.

[95]     J. Szirmai, Nil geodesic triangles and their interior angle sums,

Bulletin of the Brazilian Mathematical Society, New Series (2018),

DOI: 10.1007/s00574-018-0077-9,  arXiv: 1611.05613.

[96]     G. Csima – J. Szirmai, The sum of the interior angles in geodesic and translation triangles of SL(2,R) geometry,

            Filomat (2018), arXiv: 1610.01500.

Submitted scientific publications:

[97]     R. T. Kozma – J. Szirmai, The structure and visualization of optimal horoball packings in 3-dimensional hyperbolic space,

Submitted Manuscript [2017].  arXiv: 1601.03620, (Melléklet: http://homepages.math.uic.edu/~rkozma/SVOHP.html)

[98]     B. Schultz -- J. Szirmai, Geodesic ball packings generated by regular prism tilings in Nil geometry,

Submitted Manuscript [2017], arXiv: 1607.04401.

[99]     J. Szirmai, Triangle angle sums related to translation curves in Sol geometry,

Submitted Manuscript [2017],  arXiv: 1703.06646.

[100]   J. Szirmai, Bisector surfaces and circumscribed spheres of tetrahedra derived by translation curves in Sol geometry,

Submitted Manuscript [2017],  arXiv: 1705.04207.

[101]   J. Szirmai, Decomposition method related to saturated hyperball packings,

Submitted Manuscript (2017), arXiv: 1709.04369.

[102]   J. Szirmai -- A. Vránics, Lattice coverings by congruent translation balls using translation-like bisector surfaces in Nil geometry,

Submitted Manuscript (2017), arXiv:1710.02394.

[103]   E. Molnár – J. Szirmai, Infinite series of compact hyperbolic manifolds,

as possible crystal structures,

Submitted Manuscript (2018), arXiv:1711.09799.

[104]   J. Szirmai, Hyperball packings related to octahedron and cube tilings in hyperbolic space,

Submitted Manuscript (2018), arXiv: 1709.04369.

[105]   R. T. Kozma – J. Szirmai, New horoball packing density lower bounds in hyperbolic 5-space,

Submitted Manuscript (2018).

Surveys:

[106]   Szirmai J., Ábrázoló geometria, (Munkafüzet középiskolák számára) 1992 Budapest

[107]   E. Molnár - I. Prok - J. Szirmai, Kristályok és periodikus kövezések,

            Erdélyi Matematikai Lapok (Brassó) (2005)  6,  1-15.

           

Conferences and invited lectures:

1. Konstruktive Geometrie, Balatonföldvár 1993, Hungary,

Typen von Flächentransitiven Würfelpflasterungen

2. Intuitive Geometry, Budapest 1995, Hungary,

Metric realization of the maximal solid transitive simplex tilings in 3-space

3. Konstruktive Geometrie, Balatonföldvár 1995, Hungary,

Einige Pflasterungen des hyperbolischen Raumes von Flächentransitiven Bewegungsgruppen

4. 2nd Geometry Festival, Budapest 1996, Hungary

Metrische Realisierungen von zwei Familien der Körpertransitiven Tetraederpflasterungen

,

5. Potsdamer Geometrie Tagung, Potsdam 1997, Germany,

Optimalen Kugelpackungen für die zum Würfelsystem gehörigen Raumgruppen

6. 2nd International Conference on Applied Informatics Eger-Noszvaj, Hungary, 1997,

Ein Computerlgorithmus für die Bestimmung der Optimalen Kugelpackungen

7. International Scientific Conference of Mathematics Zilina, Slovakia, 1998,

Metric realization of the maximal solid transitive simplex tilings

8. Konstruktive Geometrie, Balatonföldvár, 1998, Hungary,

Zwei weitere Extremaleigenschaften der optimalen Kugelpackungen

9. Geometrietagung, Vorau, Österreich, 1999,

Über die Dirichlet-Voronoi Zerlegungen

10. 4th Geometry Festival (Discrete Geometry and Rigidity), Budapest, Hungary, 1999,

A simply presented orientable splitting 3-manifold with one cusp 

11. Konstruktive Geometrie, Balatonföldvár, Hungary, 2001,

Optimale Kugelpackungen für die Lambert- Würfeltypen

12. Aspects of Hyperbolic Geometry,  Fribourg, Switzerland 2001,

13. Geometrietagung, Vorau, Österreich, 2002,

Klassifikation der zum Würfelsystem gehörigen D-V Zellen

14. János Bolyai Conference on Hyperbolic Geometry, 2002, Budapest,

On an infinitive hyperbolic orbifold series

 

15. Dresden Symposium Geometrie, (zum Gedenken an Rudolf Bereis), 2003, Germany,

Die Serien der Dirichlet-Voronoi Zerlegungen

16. International Mathematical Conferences, Zilina, Slovakia, 2003,.

Optimal horoball packings for the Lambert cube tilings

17. Crystallography at the start of the 21-st century

Mathematical and Symmetry Aspects, Satellite of ECM-22, 2004, Budapest,

Optimal Ball Packings for Crystallographic Orbits and Their Visualisations by Computer

18. Geometrietagung, Vorau, Österreich, 2004.

The optimal ball and horoball packings to the Coxeter honeycombs

19. Konstruktive Geometrie, Balatonföldvár, 2005, Hungary.

i. The Optimal Horoball Packings Of the Coxeter Tilings in the Hyperbolic n-Space

ii. Generalized Polygonal Wankel Engines

20. 1st Croatian Conference on Geometry and Graphics, Bjelolasica 2006.

Determining the Optimal Hyperball Packings to the Regular Prism

Tilings in the Hyperbolic n-Space

21. Geometrietagung, Vorau, Österreich, 2007.

On Ball Coverings in Nil Space

22. 4th Croatian Mathematical Congress, June 17 - 20, 2008, Osijek, Croatia

On visualization of non-Euclidean geometries

23. 13th Scientific-Professional Colloquium on Geometry and Graphics POREˇC, September 7th−11th, 2008

Lattices in the Nil and Sol spaces

24. Conference Conference on Geometry: Theory and Applications will be held from June 29 to July 2, 2009 at Pilsen/Plzen, Czech Republic.

Classification and visualization of 3-lattices in Sol-geometry

25. The SYMMETRY FESTIVAL 2009, Budapes.t

Symmetries in the 8 homogeneous 3-geometries

26. 14th Scientific-Professional Colloquium on Geometry and Graphics, Velika, September 610, 2009.

Projective metric visualization of the 8 homogeneous 3-geometries

27. János Bolyai Memorial Conference,  Budapest-Marosvásárhely, augusztus 30 −szeptember 4, 2010.

Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types

28. 2nd Croatian Conference on Geometry and Graphics, September5 −10, 2010,  Sibenik, Croatia.

Ball packings in S²xR space

29. 15th Scientific-Professional Colloquium on Geometry and Graphics,
 September 4−8
, 2011, Tuheljske Toplice, Croatia.

Ball packings in Thurston geometries (invited talk)

30. Conference on Geometry Theory and Applications, June 24 - 28, 2013, Ljubljana, Slovenia.

a. Densest Geodesic Ball Packings to S²xR Space Groups generated by Rotations (with B. Schultz),

b. Isoptic Curves of Generalized Conic Sections in Hyperbolic Geometry (with G. Csima)

31. 17th Scientific-Professional Colloquium on Geometry and Graphics,
 September 4−8
, 2013, Rastoke, Croatia.

a.  Densest geodesic and translation ball packings by some ~ SL2R space groups (with E. Molnár)

b.  On hypersphere packings in the 5-dimensional hyperbolic space

32. 16th International Conference on Geometry and Graphics, ICCG 2014. 4-8 August -  Innsbruck/Austria

Visualization with visibility of higher dimensional and non-Euclidean geometries (with J. Katona,  E. Molnár,  I. Prok )

33. Visual methods in engineer and teacher education in science, Sopron, Hungary, October 21-22, 2014

The Euclidean visualization and modelling the 8 homogeneous Thurston 3-geometries

 (with  E. Molnár,  I. Prok )

34. 13th Serbian Mathematical Congress, Vrnjačka Banja, Serbia, May. 22-25, 2014.

Classical ball packing problems in the Thurston geometries, (invited talk) (with E. Molnár)

35. Conference on Geometry: Theory and Applications, CGTA, Kefermarkt, Austria June 8 – 12, 2015.

Hyperball packings generated by prismatic tessellations, (invited talk)

36. Intuitive Geometry,László Fejes Tóth Centennial, Conference and Workshop Budapest, June 22 - 28, 2015.

New bounds for the optimal ball packing density of hyperbolic 4-space (with R.T.Kozma)

Kepler-type problems in Thurston geometries (with E. Molnár)

37. Discrete Geometry Days,  Budapest BME, June 21 - 24, 2016, Hungary.

a. The best horoball packings for hyperbolic3- and 4-space (with R.T.Kozma)

b. Hyp-hor packings in n-dimensional hyperbolic spaces

c. Isoptic surfaces in 3D (with G. Csima)

38. XIX. Geometrical Seminar, 28.08.- 04.09, 2016 Zlatibor,  Serbia.

Top dense ball packings and coverings in hyperbolic space, (invited talk)

(with E. Molnár)

39. 19th Scientific-Professional Colloquium on Geometry and Graphics, Starigrad-Paklenica, September 4-8, 2016, Croatia .

Top dense ball packings and coverings by hyperbolic complete orthoscheme groups (with E. Molnár)

Triangles in SL(2,R) Geometry (with G. Csima)

40. 20th Scientific-Professional Colloquium on Geometry and Graphics, Fuzine, September 3-7, 2017, Croatia .

a. On Hyperbolic Crystallography, Cobweb Manifolds  (with E. Molnár)

b. Translation Triangles, Tetrahedra and Bisector Surfaces in Sol Geometry

c. Isoptic curves and surfaces

41. Szegedi Geometria Nap, 2017,Hungary .

Diszkrét geometria Thurston terekben (poszter)  (with E. Molnár)

42. XX. Geometrical Seminar, May 20-23. 2018,  Vrnjačka Banja, Serbia.

On compact non-Euclidean polyhedral manifolds-theory applications and visualization, (invited talk)

(with E. Molnár).

 

-----------------------------------------------------------------------------------------------------------------------

1. Pflasterungen im hyperbolischen Raum,

 1995, Potsdamer Universität, Institut für Mathematik

2. Gröbner bázisokról,

1996, BME, Geometria Tanszék szemináriuma,

3. Schoenflies-Bieberbach tétele,

1997, BME, Geometria Tanszék szemináriuma,

4. Algoritmus a kockarendszerhez tartozó gömbkitöktések meghatározására,

2001 MTA Rényi Intézet , Geometria Szeminárium,

5. Optimale Kugel-, Parasphären- und Hypersphärenpackungen der Coxeter Pflasterungen im n-dimensionalen hyperbolischen Raum,  (invited talk)

2005, TU. Wien

6. Coxeter kövezésekhez tartozó gömb- és horoszférakitöltések,

2005, BME, Geometria Tanszék szemináriuma,

7. Diszkrét geometriai problémák a Nil térben,

2006, BME, Geometria Tanszék szemináriuma,

8. Über die Nil-Geometrie, (invited talk)

2007, TU. Wien, Institut für Diskrete Mathematik

9. A legsűrűbb rácsszerű gömbelhelyezés meghatározása Nil geometriában, 

2007. MTA Rényi Intézet , Geometria Szeminárium,

10. Lattice-like ball packings in Nil and Sol spaces, (invited talk)

2008, Department of Mathematics Faculty of Mathematics and Physics University of Ljubljana

11. Az Alhambrától a kristályok szerkezetéig avagy "kezdetben volt a szimmetria" (invited talk)

Kömal Ankét, 2008 november 15.

12. On ball packings in Sol geometry, (invited talk)

2009, TU. Wien, Institut für Diskrete Mathematik.

13. Nemeuklideszi geometriák vizualizációja,

2009, BME, Geometria Tanszék szemináriuma,

14. Az S²xR és H²xR terek Coxeter csoportjaihoz tartozó optimális gömbkitöltések,

2010, BME, Geometria Tanszék szemináriuma,

15. A hiperbolikus tér teljesen aszimptotikus Coxeter kövezéseinek  horoszférakitöltéseiről,

2010, BME, Geometria Tanszék szemináriuma,

16. Nevezetes kövezések speciális horoszférakitöltései a hiperbolikus térben,

2010, ELTE, Hajos szeminárium,

17. Neue optimale Paraspärenpackungen im hyperbolischen Raum, (invited talk)

2010, TU. Wien, Institut für Diskrete Mathematik

18. Gömbkitöltések Thurston geometriákban,

2011, BME, Geometria Tanszék szemináriuma,

19. Horoszférakitöltések az n-dimenziós teljesen aszimptotikus  

szabályos szimplexekben,

2011, BME, Geometria Tanszék szemináriuma,

20. Hasábok és hasábkitöltések az SL(2,R) térben,

2012, BME, Geometria Tanszék szemináriuma,

21. Szabályos hasábkövezésekhez tartozó gömbkitöltések SL(2,R) geometriában,

2012, BME, Geometria Tanszék szemináriuma,

22. A legkisebb térfogatú kompakt aritmetikai 5-orbifoldokhoz kapcsolódó optimális hiperszféra és gömbkitöltések,

2013, BME, Geometria Tanszék szemináriuma,

23. Densest geodesic ball packings by some ~SL2R space groups  (with E. Molnár),

2013, BME, Geometria Tanszék szemináriuma,

24. On the conjectured ball packing density upper bound using Coxeter simplex tilings in hyperbolic 4-space (with R. Kozma Thijs),

2013, BME, Geometria Tanszék szemináriuma,

25.  Geodesic and translation ball packings in Thurston geometries , (invited talk)

2013, Oberseminar Geometrie - Université de Fribourg, Suisse

26.  Gömbök, Dirichlet-Voronoi cellák nem-euklideszi geometriákban, (invited talk)

Kömal Ankét 2014, október 28.

27.  Hiperszféra elhelyezések a 3-dimenziós hiperbolikus térben,

2014, BME, Geometria Tanszék szemináriuma,

28. Horoszférakitöltések a hiperbolikus 24 cellához kapcsolódóan,

2015, BME, Geometria Tanszék szemináriuma

29. Horo- és hiperszférákkal generált nem kongruens gömbkitöltésekről a hiperbolikus síkon és térben,

2015, BME, Geometria Tanszék szemináriuma

30. Az SL(2,R) tér transzlációs és geodetikus háromszögeiről (with G. Csima),

2016, BME, Geometria Tanszék szemináriuma

31. Rekord sűrűségű gömb-kitöltések és -fedések a hiperbolikus térben (with E. Molnár),

2016, BME, Geometria Tanszék szemináriuma

32. Simson-Wallace -féle mértani hely d-dimenziós projektív-metrikus térben (with E. Molnár)

2016, BME, Geometria Tanszék szemináriuma

33. Hiperbolikus pókháló-sokaságok (with E. Molnár)

2017, BME, Geometria Tanszék szemináriuma

34. Transzlációs biszektor felületek, Dirichlet-Voronoi cellák és gömbfedések Sol és Nil geometriában

2017, BME, Geometria Tanszék szemináriuma

35. Gömbelhelyezések és fedések általánosított gömbökkel az n-dimenziós hiperbolikus térben

2018, MTA Rényi Intézet , Geometria Szeminárium.