# Richard Bamler

rbamler@berkeley.edu

## Research

R. Bamler, B. Kleiner, *"Ricci flow and diffeomorphism groups of 3-manifolds"*, arXiv:1712.06197, submitted

R. Bamler, B. Kleiner, *"Uniqueness and Stability of Ricci flow through singularities"*, arXiv:1709.04122, submitted

R. Bamler, E. Cabezas-Rivas, B. Wilking, *"The Ricci flow under almost non-negative curvature conditions"*, arXiv:1707.03002, submitted

R. Bamler, *"Structure theory of singular spaces"*, arXiv:1603.05236, Journal of Functional Analysis, 272(6) (2017): 2504-2627 (article)

R. Bamler, *"Convergence of Ricci flows with bounded scalar curvature"*, arXiv:1603.05235, to appear in Annals of Math.

R. Bamler, *"Compactness properties of Ricci flows with bounded scalar curvature"*
arXiv:1512.08527, (old version, superseded by *Structure theory ...* and *Convergence of ...*)

R. Bamler, D. Maximo, *"Almost-rigidity and the extinction time of positively curved Ricci flows"*, arXiv:1506.03421, Math. Annalen 369 (2017), 899-911

R. Bamler, Q. Zhang, *"Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature --- Part II"*, arXiv:1506.03154, submitted

R. Bamler, *"A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature"*, arXiv:1505.00088, Math. Res. Letters, 23(2) (2016):325-337 (article)

R. Bamler, Q. Zhang, *"Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature"*, arXiv:1501.01291, Advances in Mathematics, to appear

R. Bamler, S. Brendle, *"A comparison principle for solutions to the Ricci flow"*, Math. Res. Letters, 22(4) (2015):983-988 (article)

R. Bamler, *"Long-time behavior of 3 dimensional Ricci flow -- Introduction"*, arXiv:1411.6658, Geometry & Topology 22-2 (2018), 757-774

R. Bamler, *"Long-time behavior of 3 dimensional Ricci flow -- A: Generalizations of Perelman's long-time estimates"*, arXiv:1411.6655, Geometry & Topology 22-2 (2018), 775-844

R. Bamler, *"Long-time behavior of 3 dimensional Ricci flow -- B: Evolution of the minimal area of simplicial complexes under Ricci flow"*, arXiv:1411.6649, Geometry & Topology 22-2 (2018), 845-892

R. Bamler, *"Long-time behavior of 3 dimensional Ricci flow -- C: 3-manifold topology and combinatorics of simplicial complexes in 3-manifolds"*, arXiv:1411.6647, Geometry & Topology 22-2 (2018), 893-948

R. Bamler, *"Long-time behavior of 3 dimensional Ricci flow -- D: Proof of the main results"*, arXiv:1411.6642, Geometry & Topology 22-2 (2018), 949-1068

R. Bamler, *"Long-time analysis of 3 dimensional Ricci flow III"*, arXiv:1310.4483 (2013), (old version, superseded by *Long-time behavior of 3 dimensional Ricci flow 0, A-D*)

R. Bamler, *"Long-time analysis of 3 dimensional Ricci flow II"*, arXiv:1112.5125 (2012), (old version, superseded by *Long-time behavior of 3 dimensional Ricci flow 0, A-D*)

R. Bamler, *"Long-time analysis of 3 dimensional Ricci flow I"*, arXiv:1112.5125 (2011), J. für reine und angewandte Mathematik, 725 (2017), 183-215

(as *"The long-time behavior of 3-dimensional Ricci flow on certain topologies"*)

R. Bamler, *"Stability of symmetric spaces of noncompact type under Ricci flow"* arXiv:1011.4267, Geom. Funct. Anal. 25 (2015), no. 2, 342–416.

R. Bamler, *"Stability of hyperbolic manifolds with cusps under Ricci flow"* arXiv:1004.2058, Adv. Math. 263 (2014), 412–467

R. Bamler, *"Construction of Einstein metrics by generalized Dehn filling"*, arXiv:0911.4730 (2009), Journal of the European Mathematical Society (JEMS) 14, 887-909 (2012) (link).

## Lecture Slides

Uniqueness of weak Ricci flows (talk 1, Bonn, 2017)

Classification of diffeomorphism groups of 3-manifolds through Ricci flow

Classification of diffeomorphism groups of 3-manifolds through Ricci flow (Beijing, May 2018)

## Notes

R. Bamler, *"Ricci flow with surgery"*, diploma thesis (2007), (pdf)

## Seminar

## Teaching

Spring 2017: Math 277: Geometric and analytic aspects of Ricci curvature

Fall 2016: Math 10A: Methods of Mathematics: Calculus, Statistics and Combinatorics

Fall 2015: Math 240: Riemannian Geometry

Fall 2015: Math 10A: Methods of Mathematics: Calculus, Statistics and Combinatorics

Spring 2015: Math 215B: Algebraic Topology II

Fall 2014: H110: Honors Linear Algebra

Winter 2014: Math 280: Ricci flow

Spring 2013: Math 51: Linear Algebra and Differential Calculus of Several Variables

Spring 2012: Math 175: Elementary Functional Analysis

Winter 2012: Math 172: Lebesgue Integration and Fourier Analysis