Curriculum Vitae


PERSONAL DATA

• Name: Balázs Takács
• Birth: 1990, Budapest (Hungary)
• Work address: Budapest University of Technology and Economics (BME), P.O.Box 91, Budapest, H-1518, Hungary
• e-mail: takacsb@math.bme.hu

STUDIES

• 2009-2012: BSc in Mathematics, Eötvös Loránd University, Budapest
  Thesis title: Topological integral theory (in Hungarian), Supervisor: János Kristóf


• 2012-2014: MSc in Mathematics, Eötvös Loránd University, Budapest
  Thesis title: Topological algebras (in Hungarian), Supervisor: János Kristóf


• 2014-2017: PhD program in Mathematics, Eötvös Loránd University, Budapest
  Research field: Representations of normed algebras and locally compact groups, Supervisor: Zoltán Sebestyén


• 2014-2017: MSc in Insurance and Financial Mathematics (quantitative finance specialization), Eötvös Loránd University, Budapest
  Thesis title: Malliavin calculus and its application in finance (in Hungarian), Supervisor: György Michaletzky


• 2021: PhD in Mathematics (summa cum laude)
  Thesis title: Hermitian *-algebras and extensions of positive functionals

WORK EXPERIENCE

• 2014-2017: external lecturer, Eötvös Loránd University, Budapest
  Department of Applied Analysis and Computational Mathematics, Faculty of Science


• 2017-2019 : assistant lecturer, Corvinus University, Budapest
  Department of Mathematics


• 2017-2019 : external lecturer, Budapest University of Technology and Economics, Budapest
  Department of Computer Science and Information Theory, Faculty of Electrical Engineering and Informatics


• 2018-2019 : external lecturer, Budapest University of Technology and Economics, Budapest
  Department of Analysis, Faculty of Natural Sciences


• 2019-2021 : assistant lecturer, Budapest Business University, Budapest
  Department of Applies Quantitative Methods, Faculty of Finance and Accountancy


• 2021-  : senior lecturer (part-time), Budapest Business University, Budapest
  Department of Applies Quantitative Methods, Faculty of Finance and Accountancy


• 2021-  : senior lecturer, Budapest University of Technology and Economics, Budapest
  Department of Analysis, Faculty of Natural Sciences

TOPICS TAUGHT

• Linear algebra, Analysis, Functional analysis, Probability theory

AWARDS

• 2024: "Excellent Teacher of BME" prize, BME

PUBLICATIONS

• Szűcs, Zs-Takács, B, Representable extensions of positive functionals and hermitian Banach *-algebras, Acta Mathematica Hungarica, 158 (1) (2019), 66-86.


• Szűcs, Zs-Takács, B, Hermitian and algebraic *-algebras, representable extensions of positive functionals, Studia Mathematica, 256 (2021), 311-343.


• Szűcs, Zs-Takács, B, The structure of algebraic Baer *-algebras, Pacific Journal of Mathematics, 316 (2) (2022), 431-452.


• Szűcs, Zs-Takács, B, Finite dimensional irreducible representations and the uniqueness of the Lebesgue decomposition of positive functionals, Journal of Operator Theory, 91 (1) (2024), 55-95.


• Szűcs, Zs-Takács, B, Characterizations of dual C*-algebras and finite von Neumann algebras via inclusions of left kernels of positive functionals, in preparation