10.2020-
Interests
Privatissimum
Contact
Assistant Professor, Technische Universität Wien, Austria
Geometric flows, Partial Differential Equations, Convex geometry
Selected Publications
Prescribed Lp curvature problem (with Y. Hu), Adv. Math. 442(2024): #109566.
On the uniqueness of solutions to the isotropic Lp dual Minkowski problem (with Y. Hu), Nonlinear Anal. 241(2024): #113493.
Uniqueness of solutions to a class of non-homogeneous curvature problems, [arXiv].
L^p-Minkowski problem under curvature pinching (with E. Milman), IMRN (2024).
On the classification of ancient solutions to curvature flows on the sphere (with Bryan, Scheuer), Annali SNS 5(2024): 53-76.
Uniqueness of solutions to a class of isotropic curvature problems (with E. Milman), Adv. Math. 435(2023): #109350.
Christoffel-Minkowski flows (with Bryan, Scheuer), Trans. Amer. Math. Soc. 376(2023): 2373–2393.
Constant rank theorems for curvature problems via a viscosity approach (with Bryan, Scheuer), Cal. Var. PDE 62(2023): #98.
On the stability of the Lp-curvature, J. Funct. Anal. 283(2022): #109684.
Mean convex mean curvature flow with free boundary (with Edelen, Haslhofer, Zhu), Comm. Pure Appl. Math. 75(2022): 767-817.
Orlicz-Minkowski flows (with Bryan, Scheuer), Calc. Var. PDE 60(2021): #41.
Parabolic approaches to curvature equations (with Bryan, Scheuer), Nonlinear Anal. 203(2021): #112174.
Negatively curved three-manifolds... and the cross curvature flow (with Bryan, Scheuer), LMS Lecture Note Ser. (2020): 75-97.
Iterations of curvature images, Mathematika 66(2020): 640-648.
Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds (with Bryan, Scheuer), Crelle's 764(2020): 71-109.
Deforming a hypersurface by principal radii of curvature and support function, Calc. Var. PDE 58(2019): #1.
A unified flow approach to smooth, even Lp-Minkowski problems (with Bryan, Scheuer), Analysis & PDE 12(2019): 259-280.
A local uniqueness theorem for minimizers of Petty's conjectured projection inequality, Mathematika 64(2018): 1-19.
On the second mixed projection problem and the projection centroid conjectures, J. Funct. Anal. 272(2017): 5144-5161.
Deforming a hypersurface by Gauss curvature and support function, J. Funct. Anal. 271(2016): 2133-2165.
The planar Busemann-Petty centroid inequality and its stability, Trans. Amer. Math. Soc. 368(2016): 3539-3563.
Centro-affine normal flows on curves: Harnack estimates and ancient solutions, Ann. I. H. Poincaré 32(2015): 1189-1197.
Stability of the Blaschke-Santaló inequality in the plane, Monatsh. Math. 177(2015): 451-459.
Recent Teaching in TU Wien
Differential Geometry, S24.
Curvature equations, W21, 23.
Curve shortening flow, W20, S23.
Geometric analysis, W22.
Mean curvature flow, S21.
Talks
07.2024
06.2024
06.2024
05.2024
04.2024
12.2023
11.2023
10.2023
05.2023
03.2023
11.2022
10.2020
10.2020
12.2019
11.2019
02.2019
10.2018
09.2018
03.2018
12.2017
09.2017
02.2017
02.2017
10.2016
11.2015
11.2015
09.2015
01.2015
11.2013
10.2013
09.2013
05.2013
04.2012
Bridging PDE and Geometric Flows, Cardiff University, Wales.
Current trends in Geometric flows, Montreal, Canada.
41. Süddeutsches Kolloquium über Differentialgeometrie, Frankfurt, Germany.
Conference on Convex Geometry and Related PDEs, Hunan University, China.
Warwick Analysis Seminar, Warwick University, UK.
Geometric Analysis Seminar, Vienna University, Austria.
Geomerty Seminar, Friedrich-Schiller-Universität, Jena, Germany.
Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria.
Privatissimum of Differential Geometry and Applied Geometry Group, TU, Austria.
Privatissimum of Convex and Discrete Geometry Group, TU, Austria.
Privatissimum of Convex and Discrete Geometry Group, TU, Austria.
Privatissimum of Convex and Discrete Geometry Group, TU, Austria.
Geometric Analysis Seminar, University of Toronto, Canada.
CMS Winter Meeting, Geometric Analysis, Toronto, Canada.
Geometry & Topology seminar, University of Toronto, Canada.
Department Colloquium, University of Bath, England.
Geometric Analysis Colloquium, Fields Institute, Canada.
Postdoc Seminar, University of Toronto, Canada.
Workshop in Geometric Analysis, CRM, Montreal, Canada.
CMS Winter Meeting, Geometric Analysis, Waterloo, Canada.
Analysis and Applied Math Seminar, University of Toronto, Canada.
Analysis Seminar, Concordia University, Montreal, Canada.
Geometric Analysis Seminar, McGill University, Montreal, Canada.
Privatissimum of Convex and Discrete Geometry Group, TU, Austria.
Leibniz Universität, Hannover, Germany.
PDE Seminar, Konstanz University, Germany.
Affine Geometric Analysis, Oaxaca, Mexico.
Privatissimum of Convex and Discrete Geometry Group, TU, Austria.
Privatissimum of Convex and Discrete Geometry Group, TU, Austria.
Privatissimum of Convex and Discrete Geometry Group, TU, Austria.
Conference on Convex Geometry, Castro Urdiales, Spain.
XVI-th ISM-Quebec Student Conference, Montreal, Canada.
Workshop on Convexity and Asymptotic Geometric Analysis, CRM, Montreal, Canada.
Conferences and Visits
2024
2024
2024
2024
2023
2022
2019
2018
2017
2017
2015
2015
2015
2015
2014
2013
2013
2012
2012
2012
2011
2010
2010
2009
2008
Bridging PDE and Geometric Flows, Cardiff University, Wales, July 22-26.
Current trends in Geometric flows, Montreal, Canada, June 25-29.
41. Süddeutsches Kolloquium über Differentialgeometrie, Frankfurt, Germany, June 6-7.
Conference on Convex Geometry and Related PDEs, Hunan University, China, May 10-18.
Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, October 16-20.
Mini-Symposium on Geometric Probability and Valuation Theory, Vienna, Austria, April 20-22.
CMS Winter Meeting, Toronto, Canada, December 6-9.
Workshop in Geometric Analysis, CRM, Montreal, Canada, March 12-16.
CMS Winter Meeting, Waterloo, Canada, December 8-11.
Concordia University, Montreal, Canada, January 1st-May 31st.
Leibniz Universität, Hannover, Germany, November 16-20.
Konstanz University, Germany, November 4-6.
Affine Geometric Analysis, Oaxaca, Mexico, September 20-25.
Flow(ers) and friends (workshop on geometric analysis), Frankfurt, Germany, March 2-5.
Alfréd Rényi Institute of Mathematics, Budapest, Hungary, November 23-25.
Conference on Convex Geometry, CIEM, Castro Urdiales, Spain, September 23 -27.
XVI-th ISM-Quebec Student Conference, McGill University, Montreal, Canada, May 17-19.
The AMSI/ANU/UQ Winter School on Geometric PDE, Brisbane, Australia, July 2-13.
Workshop on Geometric PDE, CRM, Montreal, Canada, April 23-27.
Workshop on Convexity and Asymptotic Geometric Analysis, CRM, Montreal, Canada, April, 16-20.
Metric measure spaces: Geometric and analytic aspects, CRM, Montreal, Canada, June 27-July 8.
Thematic Program on Asymptotic Geometric Analysis, Fields Institute, Toronto, Canada, September 7-26.
XIII-th ISM-Quebec student conference, Universite Laval, Canada, May 28-30.
Münster University, Germany, April 19-30.
School and Conference on Differential Geometry, ICTP, Italy, June 2-20.
Formation
7.2017-10.2020
9.2013-6.2017
9.2009-5.2013
2006–2008
2002-2006
Research Fellow at Department of Mathematics, University of Toronto, Canada
Research Fellow at Technische Universität Wien, Austria
Ph.D. in Mathematics, Concordia University, Montreal, Quebec, Canada
MS.c. in Mathematics, Tarbiat Modares University, Tehran, Iran
BS.c. in Mathematics, Shahid Beheshti University, Tehran, Iran
Selected Awards, Grants, Prizes and Scholarships
10.2023
11.2022
10.2022
2017
10.2016
2014-2016
2013
2006
2005
Best paper award 2022, Faculty of Mathematics and Geoinformation, TU Wien.
Austrian Science Fund (FWF) project, Award number P36545.
Best paper award 2021, Faculty of Mathematics and Geoinformation, TU Wien.
Jerrold E. Marsden Fellowship. Fields Institute. Know more about J.E. Marsden!
Best paper award 2015, Faculty of Mathematics and Geoinformation, TU Wien.
Lise Meitner program (Austrian Science Fund). Know more about Lise Meitner!
The Carl Herz Prize. Know more about Carl Herz!
Silver Medal: 30th Mathematics Competition for University Students, Tafresh, Iran.
Silver Medal: 29th Mathematics Competition for University Students, Mazandaran, Iran.
