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
- Instructor for Math 106: History of Mathematics
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
- Jiantong Liu and Zayan Shariff – Category Theory