Sergio Zamora
Postdoctoral scholar, Oregon State University
zamorabs@oregonstate.edu
My research focuses in metric geometry, geometric group theory, and differential geometry.
My Bachelor advisor is Adriana Ortiz-Rodríguez, my PhD advisor is Anton Petrunin, and my Postdoc mentors are Stephan Stadler and Christine Escher.
I also manage the content of the YouTube channel what-is-math.
Here is my Research Statement, Teaching Philosophy, and CV.
Torus covers with controlled volume and diameter
accepted in Proceedings of the AMS (preprint)
Topological rigidity of small RCD(K,N) spaces with maximal rank
with Xingyu Zhu
(preprint)
Margulis Lemma on RCD(K,N) spaces
with Qin Deng, Jaime Santos Rodríguez, and Xinrui Zhao
accepted in Analysis & PDE (preprint)
Limits of almost homogeneous spaces and their fundamental groups
Groups, Geometry, and Dynamics, 2024 (preprint)
Fundamental groups and group presentations with bounded relator lengths
Geometriae Dedicata, 2024 (preprint)
On fundamental groups of RCD spaces
Crelles Journal, 2023 (preprint)
Anderson finiteness for RCD spaces
(preprint)
Tori can't collapse to an interval
Electronic Research Archive, 2020
Moon in a puddle and the four vertex theorem
with Anton Petrunin, and artwork by Ana Cristina Chávez Cáliz
First Betti number and collapse
(preprint)
Fundamental groups of aspherical manifolds that collapse
(preprint)
What is differential geometry: curves and surfaces
with Anton Petrunin, and artwork by Ana Cristina Chávez Cáliz
Textbook and video course
The global shape of compact universal covers
Geometry and Topology Seminar, Washington University in St. Louis. 2023 (slides)
Lower Ricci bounds and fundamental group
Curvature and Global Shape. Munster. 2023 (slides)
Geometry and Analysis on Groups and Manifolds. De Giorgi Center. 2023 (slides)
Lower semi-continuity of fundamental groups and nilpotent structures
Topology Geometry Zoom Seminar. University of Oregon. 2023 (slides)
Lower semi-continuity of fundamental groups and nilpotent structures in persistence
AATRN Vietoris-Rips Seminar. 2023
First Betti number and collapse
New Developments in Differential Geometry and Topology. Boston. 2023
Topology of convergence with lower Ricci bounds
Geometry Seminar. Karlsruhe Institute of Technology. 2022 (notes)
Restrictions on collapse with lower Ricci curvature bounds
Oberseminar Differentialgeometrie. Max Planck Institute. 2022
Squishable manifolds
Durham University. 2022
On collapse of tori under lower sectional curvature bounds
Barret Lectures. University of Tennessee. 2022 (slides)
Limites de espacios homogeneos discretos
Jornada de Topologia, Geometria y Dinamica. 2022 (slides)
On collapse of tori under lower sectional curvature bounds
Alexandrov Seminar in Geometry. Euler Institute. 2022
On limits of almost homogeneous spaces
University of Copenhagen. 2022 (slides)
Structure of collapse on aspherical manifolds
University of Toronto. 2021
UCSB. 2021 (slides)
Global shape of universal covers
Vanderbilt University. 2021
Structure of collapse and fundamental groups
CUNY Geometric Analysis Seminar. 2021 (slides)
Universal covers of manifolds with Ricci curvature bounded below
UNCG ANT-CoG. 2021 (slides)
Lower semi-continuity of the fundamental group and convergence with discrete symmetry
Virtual Workshop on Ricci and Scalar Curvature in honor of Misha Gromov. 2020
Fundamental groups and limits of almost homogeneous spaces
Metric Measure Spaces and Convergence Seminar. 2020 (slides)
Amenable groups and ultrafilters. Different takes on probability
Student Directed Colloquium. Penn State University. 2019 (notes)
Amenability
MSRI Summer School. Geometric Group Theory. 2019
Non-Smooth curvature
Student Directed Colloquium. Penn State University. 2018 (slides)
Curvature and the paper sphere
Mathematical Coven. UNAM. 2015