Current teaching. Students. Earlier teaching. Some lecture notes I like. Back to my front page.

Current and recent courses / Kurzusaim mostanság:

Spring 2023: Stochastic models.

Fall 2022: Probability A4 lectures and Applications of stochastics. Communication is on MS Teams.

Spring 2022: Probability on Graphs and Groups.

Fall 2021: Applications of stochastics, and A4 gyakorlat.

Spring 2021: Stochastic models.

Fall 2020: Applications of stochastics, and Probability 1 exercise sessions.

Fall 2019: Applications of stochastics.

Spring 2019: Applications of stochastics and Stochastic models.

Fall 2018: Applications of stochastics.

Spring 2018: Applications of stochastics / Alkalmazott sztochasztika and Stochastic models at CEU

Fall 2017: Valószínűségszámítás gyakorlat

Spring 2017: Percolation theory and Stochastic models and CEU Probability 2

Fall 2016: Valószínűségszámítás gyakorlat és Építőmérnök A2 gyakorlat.

Spring 2016: Véletlen diszkrét struktúrák and Valószínűségszámítás pótkurzus / A4.

Fall 2015: Valószínűségszámítás gyakorlat and Matematikai problémamegoldó gyakorlat MSc fizikusoknak.

Spring 2015: Stochastic models and Villamosmérnök A4 and Valószínűségszámítás pótkurzus.

Fall 2014: Valószínűségszámítás and Matematikai problémamegoldó gyakorlat MSc fizikusoknak and Stochastic Models at the CEU.

Spring 2014: Feladatmegoldó szeminárium and Villamosmérnök A4 and Valószínűségszámítás vizsgakurzus and Véletlen struktúrák az ELTÉ-n.

Fall 2013: Valószínűségszámítás and Matematikai problémamegoldó gyakorlat MSc fizikusoknak and Stochastic Models at the CEU.

Spring 2013: Sztochasztikus modellek and Villamosmérnök A4.

Fall 2012: Matematikai problémamegoldó gyakorlat fizikusoknak and Villamosmérnök A4.

Spring 2012: Critical phenomena and conformal invariance in the plane and Stochastic Differential Equations (examples classes).

Fall 2011: Valószínűségszámítás (Gyakorlat).

Students:

Ágnes Kúsz (PhD 2020- BME)
Random trees

Sándor Rokob (PhD 2018- BME, co-advised with Balázs Ráth)
Random interlacements and Uniform Spanning Forests

Richárd Patkó (PhD 2017-2018 BME, unfinished)
Representation theory and random walks on groups

Pál Galicza (PhD 2014-2020 CEU)
Noise sensitivity, pivotality and clue for transitive functions on spin systems.
Currently a postdoc in my Noise-Sensitivity Everywhere group in the Rényi Institute, Budapest.

Alexey Medvedev (PhD 2013-16 CEU)
Non-Markovian spreading models on networks
Supervised jointly with János Kertész
Currently a postdoc at the group of Lambiotte and Delvenne at University of Namur and University of Louvain.

Gergely Lukáts (MSc 2020 BME)
Mixing Time of Critical Ising Glauber Dynamics

Mahefa Ratsisetraina Ravelonanosy (MSc 2020 CEU)
The concentration of measure and the concentration of distance phenomena

Erika Kőnig (MSc 2016 BME)
Mixing time of Glauber dynamics for the Ising model
Currently at Morgan Stanley, Budapest

Zsolt Bartha (MSc 2014 BME)
Noise sensitivity and bootstrap percolation
Currently a PhD student at University of California, Berkeley

Katinka Mirk (MSc 2014 BME)
Trixor and near-critical corner-percolation in the plane

Earlier teaching in Toronto:

• Two grad courses, Percolation in the plane, Z^d, and beyond and Probability and Geometry on Groups,
• and an undergrad course on Cryptography and coding theory.

Earlier teaching in Szeged (in Hungarian):

• Chapters from algebraic geometry. Course notes and problems.
Fejezetek az algebrai geometriából - bõséges osszefoglaló és feladatsor.


• Problems in geometry. First set: Geometry of lattices and the discrete Fourier transform. Second set: Fundamental group, covering spaces, geometric group theory. Third set: Konvex polyhedrons, by János Kincses.
Geometria feladatmegoldó szeminárium - az I. feladatsor (Rácsgeometria és diszkrét Fourier-transzformált); a  II. feladatsor (Fundamentális csoport, fedõfelületek, geometriai csoportelmélet); a III. feladatsor (Konvex poliéderek, Kincses Jánostól).

Some lecture notes I like:

• Vitaly Bergelson: Ergodic Ramsey Theory -- an update (.pdf)
• György Elekes: Sums versus products in Number Theory, Algebra and Erdös Geometry --- a survey
  
• Cornelia Drutu and Misha Kapovich: Lectures on geometric group theory
• Russ Lyons and Yuval Peres: Probability on trees and networks, Cambridge University Press, 2016.
  
• Peter Mörters and Yuval Peres: Brownian Motion. An earlier, shorter, but very nice version is Y. Peres: An invitation to the sample paths of Brownian Motion.
• Yuval Peres: Probability on trees -an introductory climb Much shorter than the Lyons-Peres book, but also very nice.
• Scott Sheffield: Gaussian free fields for mathematicians (arXiv). This is a beautiful object, the d-time-dimensional Brownian Motion.
• Wendelin Werner: Random planar curves and Schramm-Loewner evolutions (arXiv). Not that many complete proofs, but good explanations.
  
• Dave Witte Morris: Arithmetic lattices. Robert Zimmer's short lecture notes on ergodic geometric group theory is also there.