Samir Canning

Email: srcannin at ucsd dot edu
Office: AP&M 5760

I work in algebraic geometry. Specifically, I am interested in the intersection theory of moduli spaces, especially those related to the moduli spaces of curves, abelian varieties, and K3 surfaces. My previous work was on the dimension of the variety of lines on a Fano complete intersection.

Papers and Preprints

• The integral Chow rings of moduli of Weierstrass fibrations, joint with Andrea Di Lorenzo and Giovanni Inchiostro. (arxiv)
  
• The integral Picard groups of low-degree Hurwitz spaces, joint with Hannah Larson. (arxiv)
  
• The Chow rings of moduli spaces of elliptic surfaces over P¹, joint with Bochao Kong. (arxiv)
  
• The Chow rings of the moduli spaces of curves of genus 7, 8, and 9, joint with Hannah Larson. (arxiv)
  
• Chow rings of low-degree Hurwitz spaces, joint with Hannah Larson, accepted at J. Reine Angew. Math (Crelle's Journal). (journal) (arxiv)
  
• Tautological classes on low-degree Hurwitz spaces, joint with Hannah Larson. (arxiv)
  
• On a conjecture on the variety of lines on a Fano complete intersection, Ann. Mat. Pura Appl. (journal) (arxiv)
  

Seminars

The webpage for the UCSD Algebraic Geometry Seminar is here.

In 2020-2021, I co-organized the American Graduate Student Algebraic Geometry Seminar (AGSAGS) with Roberto Albesiano, Lena Ji, Jennifer Li and Aline Zanardini.

Some quarters, I organized a student learning algebraic geometry seminar at UCSD:

• In summer 2020, the topic was geometric invariant theory.
  
• In spring 2020, we continued studying the moduli space of curves.
  
• In winter 2020, the topic was the moduli space of curves.
  
• In fall 2018, the topic was abelian varieties.
  
• In spring 2018, the topic was surfaces.
  
• In winter 2018, the topic was dimension theory.
  

Teaching

I have been lead instructor for the following courses.

1. Summer 2021, 18 Linear Algebra (Reviews).

In 2021, I was accepted into the Summer Graduate Teaching Scholar Program.

In 2020-2021, I was one of the two Senior Teaching Assistants, and in 2019-2020 I was one of the Junior Teaching Assistants. This means that I coordinated and taught the course MATH 500, which is an introduction to teaching for graduate students, and helped handle TA related matters for the department. I was a teaching assistant for the following courses.

1. Academic Year 2020-2021, Senior Teaching Assistant
2. Academic Year 2019-2020, Junior Teaching Assistant
3. Fall 2018, 109 Mathematical Reasoning
4. Spring 2018, 20E Vector Calculus
5. Winter 2018, 103B Abstract Algebra II
6. Fall 2017, 18 Linear Algebra
7. Spring 2017, Representation Theory of Finite Groups (Columbia)
8. Fall 2016, Introduction to Modern Analysis I (Columbia)
9. Summer 2016, Calculus II (Columbia)
10. Summer 2016, Calculus III (Columbia)
11. Spring 2016, Introduction to Higher Mathematics (Columbia)
12. Fall 2015, Introduction to Modern Analysis I (Columbia)
13. Summer 2015, Introduction to Modern Analysis I (Columbia)

Outreach and other activities

I currently volunteer as a tutor with East Palo Alto Tennis and Tutoring.

I served on the graduate affairs committee in the UCSD mathematics department from 2018-2021.

I was the president of the Mathematics Graduate Student Council at UCSD from the beginning of the 2018-2019 academic year until the end of the 2019-2020 academic year.

In fall 2018, I volunteered to tutor refugee students at a local school with San Diego Refugee Tutoring.

In spring 2018, I led five undergraduates through a course on algebraic curves as a part of UCSD's RTG in Algebra, Algebraic Geometry, and Number Theory.