Curriculum Vitae

Ben Spitz
benspitz@math.ucla.edu
https://www.math.ucla.edu/~benspitz

Education

UC Los Angeles (2018 – Present)
• PhD, Mathematics (Expected Spring 2024)
Advisor: Mike Hill
Advanced to Candidacy Winter 2022
• MA, Mathematics (Awarded Winter 2021)
UC Santa Barbara (2014 – 2018)
• BS, Mathematics
Capstone Project: "Contravariant Finiteness and Tilting"
Advisor: Birge Huisgen-Zimmermann

Fellowships and Awards

UCSB College of Creative Studies Summer Undergraduate Research Fellowship
Summer 2017

Conference and Seminar Organizing

Non-Departmental

AMS Special Session: Topics in Equivariant Algebra
Wednesday Jan 3, 2024 @ Joint Mathematics Meetings
co-organized with Christy Hazel and Mike Hill

Departmental

Graduate Student Seminar
Quarterly, Fall 2019 - Present @ UCLA
Algebraic Topology Participating Seminar: Equivariant Algebra
Spring Quarter 2023 @ UCLA
Algebraic Topology Participating Seminar: Computations in Equivariant Homotopy Theory
Fall Quarter 2022 @ UCLA
Algebraic Topology Participating Seminar: Condensed Mathematics
Spring Quarter 2022 @ UCLA
"Baby Algebra" Summer Seminar: Algebraic Groups
Summer 2021 @ UCLA
co-organized with Louis Esser

Talks

External

Mackey and Tambara Functors Beyond Equivariant Homotopy
January 23, 2024
CU Boulder Topology Seminar
Generalized Mackey and Tambara Functors
January 6, 2024
AIM Special Session on Equivariant Techniques in Stable Homotopy Theory
Localizations and Spectra of Tambara Functors
January 3, 2024
AMS Special Session: Topics in Equivariant Algebra
Mackey and Tambara Functors Beyond Equivariant Homotopy
December 11, 2023
UNAM Morelia Topology Seminar
Mackey and Tambara Functors Beyond Equivariant Homotopy
November 17, 2023
Vanderbilt University Geometry/Topology Seminar
Mackey and Tambara Functors Beyond Equivariant Homotopy
November 14, 2023
UIUC Topology Seminar
Mackey and Tambara Functors Beyond Equivariant Homotopy
November 2, 2023
OSU Homotopy Seminar
Mackey and Tambara Functors Beyond Equivariant Homotopy
October 4, 2023
University of Minnesota Topology Seminar
Mackey and Tambara Functors Beyond Equivariant Homotopy
September 20, 2023
European Autumn School in Topology
Introduction to Vector Bundles in Algebra and Topology
September 14, 2023
eCHT Seminar: Algebraic Vector Bundles
Day Convolution, Internal Hom, and Green Biset Functors
Two-lecture series
June 20-21, 2023
Topics in Representation Theory: Biset Functors
Mackey and Tambara Functors over LCC Categories
April 3, 2023
UPenn Homotopy Theory Seminar
Mackey and Tambara Functors over LCC Categories
March 16, 2023
Young-HOM
An Invitation to Equivariant Algebra
November 12, 2022
Binghamton University Combinatorics, Algebra, and Topology Conference

Internal

The Unramified Langlands Correspondence for Function Fields
Fall 2023
UCLA Algebra Participating Seminar: Geometric Langlands
Weird Dice and an Open Problem in Number Theory
Fall 2023
UCLA Graduate Student Seminar
The Quartic Formula
Spring 2023
UCLA Graduate Student Seminar
Universal Properties and (Co)cones
Spring 2023
UCLA Algebra Participating Seminar: ∞-Category Theory
Comma Infinity Categories
Spring 2023
UCLA Algebra Participating Seminar: ∞-Category Theory
Dynkin Around
Winter 2023
UCLA Graduate Student Seminar
A tropical proof of the Brill-Noether Theorem
Fall 2022
UCLA Algebra Participating Seminar: Tropical Geometry
Prime-Generating Polynomials
Fall 2022
UCLA Graduate Student Seminar
The Balmer Spectrum and tt-Classification
Spring 2022
UCLA Algebra Participating Seminar: Tensor Triangular Geometry
Condensed Mathematics
4 Lectures
Spring 2022
UCLA Algebraic Topology Participating Seminar: Condensed Mathematics
Compact Hausdorff Spaces are Algebraic Objects
Spring 2022
UCLA Graduate Student Seminar
∞-Operads
Winter 2022
UCLA Algebraic Topology Participating Seminar: Higher Algebra
Topoi: What's the Topoint?
Winter 2022
UCLA Graduate Student Seminar
Unstable Motivic Homotopy II
Fall 2021
UCLA Algebraic Topology Participating Seminar: Motivic Homotopy Theory
Categorification: Polynomial Edition
Spring 2021
UCLA Graduate Student Seminar
Babby's First Spectral Graph Theory
Winter 2021
UCLA Graduate Student Seminar
Hilbert's theorem on finite generation of rings of invariants
Fall 2020
UCLA Algebra Participating Seminar: Geometric Invariant Theory
Automorphism Towers of Groups
Spring 2020
UCLA Graduate Student Seminar
Perverse Sheaves I
Winter 2020
UCLA Algebra Participating Seminar: Perverse Sheaves
Amazing Adjoints and Where To Find Them
Winter 2020
UCLA Graduate Student Seminar
Birational maps of surfaces
Fall 2019
UCLA Algebra Participating Seminar: Surfaces
Galois Categories
Fall 2019
UCLA Graduate Student Seminar
Grothendieck Topologies and Sheaves
Fall 2019
UCLA "Baby Algebra" Seminar on Étale Cohomology
Selected Tidbits of Statistical Group Theory
Spring 2019
UCLA Graduate Student Seminar
The Krein-Milman Theorem and Slick Applications Thereof
Winter 2019
UCLA Graduate Student Seminar
Čech Cohomology
Summer 2019
UCLA "Baby Algebra" Summer Seminar on Sheaf Cohomology
Contravariant Finiteness and The Finitistic Dimension Conjecture
Two-lecture series
Spring Quarter 2018
UCSB Algebra Seminar

Teaching

UCLA
- Instructor for Math 106: History of Mathematics
  Winter Quarter 2023
- Instructor for Math 95: Transition to Upper Division Mathematics
  Fall Quarter 2023
- Teaching Assistant for 21 courses
  2018-2023
  Complete history: https://www.math.ucla.edu/~benspitz/teaching.html

Teaching evaluations available upon request.

Service

Undergraduate Studies Committee @ UCLA
Academic Year 2023-2024
Directed Reading Program @ UCLA
- Jiantong Liu and Zayan Shariff – Category Theory
  Spring Quarter 2022
- Jiantong Liu – Covering Spaces
  Fall Quarter 2022
- Jiantong Liu – Class Groups of Number Fields
  Spring Quarter 2022
- Jesse Chien – Homological Algebra
  Spring Quarter 2021
- Runze Yu – Representations of Finite Groups
  Spring Quarter 2021
- Runze Yu and Young He – Differential Topology
  Winter Quarter 2021
- Runze Yu and Young He – Universal Algebra
  Fall Quarter 2020