Alexander
Grigor'yan, Professor of Mathematics
Email grigor (at) math.uni-bielefeld.de
Tel : +49-(0)521-106-4996,
Secretary: +49-(0)521-106-4775
Address:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501
Bielefeld, Germany
Room: V4-234
Undergraduate and Graduate Lecture Courses
- "Analysis
on manifolds", WS 2025/26
- "Analysis
II", SS 2025
- "Analysis
I", WS 2024/25
- "Analysis
on manifolds", SS 2024
- "Elliptic
Partial Differential Equations", WS 2023/24
- "Partial
Differential Equations", SS 2023
- "Funktionalanalysis", SS 2022
- "Maß-
und Integrationstheorie", WS 2021/22
- "Analysis
II", SS 2021
- "Analysis
I", WS 2020/21
- "Funktionalanalysis", SS 2020
- "Maß-
und Integrationstheorie", WS 2019/20
- "Funktionalanalysis", SS
2019
- "Analysis II", WS 2018/19
- "Analysis
I", SS 2018
- "Funktionen",
SS 2017
- "Analysis
on manifolds", WS 2016/17
- "Analysis
of Elliptic Differential Operators", SS 2016
- "Partial
Differential Equations", WS 2015/16
- "Gewöhnliche
Differentialgleichungen" SS 2015
- "Analysis II", WS 2014/15
- "Analysis I", SS 2014
- "Maß- und
Integrationstheorie", WS 2013/14
- "Funktionalanalysis", SS
2013
- "Analysis I", SS 2012
- "Analysis
on graphs", WS 2011/12
- "Gewöhnliche
Differentialgleichungen" SS 2011
- "Probability
Theory" WS 2010/11
- "Gewöhnliche
Differentialgleichungen" SS 2010
- "Analysis
on graphs", WS 2009/ 2010
- "Ordinary
Differential Equations" SS 2009
- "Ordinary
Differential Equations" SS 2008
- "Measure
Theory and Probability" WS 2007/08
- "Ordinary
Differential Equations" SS 2007
- "Analysis
II", WS 2006/07
- "Analysis
I", SS 2006
Undergraduate Seminars
Selected Lectures and Short Lecture Courses
- Leibenson’s equation on Riemannian manifolds
(in Russian, Moscow State University, May 2025)
- PDEs on
manifolds and volume growth (CUHK, Hong Kong, March-April 2025)
- Upper
bounds of heat kernels of jump processes (CUHK, Hong Kong, March 2025)
- Lectures on path chain complexes on digraphs
(Nankai University, Tianjin, October-November 2024)
- Analysis on
fractal spaces and walk dimension (ICBS, Beijing, July 2024)
- Leibenson’s equation on Riemannian manifolds
(in Russian, Volgograd State University, April 2024)
- Analysis
on fractal spaces and heat kernels (Tsinghua University, April 2024)
- Lectures on path homology and Hodge Laplacian on digraphs
(YMSC, Beijing, February-April 2024)
- Homotopy and homology of digraphs
(BIMSA, Beijing, March 2024)
- Tail estimates of heat kernels for jump processes
(Zhejiang University of Technology, Hangzhou, March 2024)
- Propagation speed of non-linear parabolic equations on Riemannian manifolds
(Nankai University, March 2024)
- Tails of
heat kernels of jump processes (CUHK, Hong Kong, December 2023)
- Leibenson’s equation on Riemannian manifolds
(Chemnitz, October 2023)
- Path
homology and Hodge
Laplacian on digraphs (Wuppertal, July 2023)
- Heat kernels on fractals and walk dimension
(Angers, June 2023)
- Hodge
Laplacian on digraphs (BIMSA, Beijing, June 2023)
- Analysis on fractal spaces and heat kernels
(Steklov Math Institute, Moscow, May 2023)
- Heat kernels of diffusion and jump processes on fractals
(Weizmann Institute, Tel Aviv, May 2023)
- Finite propagation speed of non-linear parabolic equations on Riemannian manifolds
(Hagen, April 2023)
- Off-diagonal esitmates of heat kernels for jump processes
(Okinawa, March 2023)
- Propagation speed of non-linear parabolic equations on Riemannian manifolds
(CUHK, February 2023)
- Analysis on ultra-metric and fractal spaces. Heat equation approach
(Steklov Math Institute, Moscow, January 2023)
- Overview of path homology theory of
digraphs II
(BIMSA and YMSC, Beijing, 2022-23)
- Leibenson’s equation on Riemannian manifolds
(BIMSA, Beijing, September 2022)
- Finite propagation speed for Leibenson’s equation on Riemannian manifolds
(Bonn, August 2022)
- Tail estimates of the heat kernel for jump processes
(Kansai University, Osaka, August 2022)
- Overview of path homology theory of
digraphs I
(BIMSA and YMSC, Beijing, February-May 2022)
- Path
homology and join of digraphs (HSE, Moscow, March 2022)
- Landis'
proof of Harnack inequalities (MSU, Moscow, December 2021)
- Analysis
and heat kernels on ultra-metric spaces (Kyoto, September
2021)
- Heat
kernels on manifolds and fractals (IRTG, Bielefeld, April 2021)
- Heat
kernels on ultra-metric spaces (Steklov Math Institute, Moscow, September
2020)
- Laplace
operator on weighted graphs (Nankai University, September 2019)
- Analysis
on manifolds and volume growth (Nankai University, September 2019)
- Analysis
on fractal spaces and heat kernels (Aveiro, July 2019)
- Analysis
of the heat equation on Riemannian manifolds III (CUHK, February-March
2019)
- Random
walks on ultra-metric spaces (AMSS CAS, September 2018)
- Heat
kernels on manifolds with ends (St.Petersburg, June 2018)
- Heat
kernels on Riemannian manifolds II (CUHK, March 2018)
- On
positive solutions of semi-linear elliptic inequalities on Riemannian
manifolds (Minnecota, February 2018)
- Path
homologies of digraphs (YMSC, Tsinghua University, November 2017)
- Heat
kernels on Riemannian manifolds (Nankai University, October
2017)
- Heat
equation and heat kernel on an arbitrary manifold I (CUHK,
February-March 2017)
- Harnack inequality for elliptic PDEs
(CUHK, March 2016)
- Homologies
of digraphs and Künneth formula (Tsinghua University, October 2015)
- Heat
kernels on manifolds with parabolic ends (Renmin University, Beijing,
October 2015)
- Heat
kernel estimates on Riemannian manifolds (Fudan University, Shanghai,
September 2015)
- Heat
kernel on manifolds with ends: non-parabolic case (CUHK, April 2015)
- Homotopy
and homology of digraphs (CUHK, March 2015)
- Negative
eigenvalues of Schrödinger operators (Nantes, February 2015)
- Heat
kernel and Harnack inequality on Riemannian manifolds (CUHK, February
2014)
- Estimating
the number of negative eigenvalues of Schrödinger operators (CUHK,
March 2012)
- Analysis and Geometry on
Graphs, part 1, part 2 (Tsinghua University, February
2012)
- Stochastic
completeness of Markov processes (CUHK, February-March 2011)
- Heat
kernels on metric measure spaces (6th
Cornell Probability Summer School, July 2010)
Useful links
This page was last updated on
June 23, 2025