AMIT OPHIR
AMIT OPHIR
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Email: aophir followed by @ followed by ucsd.edu
Office: AP&M 6444, UCSD Campus, La Jolla, CA, USA
ABOUT
I am an S.E.W. Visiting Assistant Professor at UCSD, working with Professor Claus Sorensen. Before that, I was a PhD student at the Hebrew University of Jerusalem, under the supervision of Professor Ehud de Shalit.
I work on problems at the inerface of number theory and representation theory. I am particularly interested in integral structures in representations over p-adic fields.
I work on problems at the inerface of number theory and representation theory. I am particularly interested in integral structures in representations over p-adic fields.
RESEARCH
Preprints:
Preprints:
Projective smooth representations in natural characteristic. In preparation. With Claus Sorensen.
Maximal stable lattices in representations over discretely valued fields. With Ariel Weiss. 2024.
Papers:
Papers:
On the relation between pseudocharacters and Chenevier's determinants. Bulletin of the London Mathematical Society . (2024).
On Ribet's Lemma for GL_2 modulo prime powers. With Ariel Weiss. Research in the Mathematical Sciences. (2024).
On the rigidity of invariant norms on the p-adic Schrödinger representation. Accepted for publication in Annales de l'institut Fourier
q-binomials and Non-continuity of the p-adic Fourier Transform. With Ehud de Shalit. Quarterly J. of Math. 67 (2016), 653-668.
Nearly equal distances in metric spaces. With Rom Pinchasi. Discrete Applied Mathematics. 174 (2014), 122-127.
TEACHING
UCSD - Teacher:
Fall 2024: Math 102 - Applied linear algebra, and Math 10B - Calculus II.
Spring 2024: Math 102 - Applied linear algebra.
Spring 2023: Math 102 - Applied linear algebra.
Spring 2022: Math 10A - Calculus I.
Winter 2022: Math 102 - Applied linear algebra.
Fall 2022: Math 103A - Modern Algebra I.
HUJI- Teaching assistant:
Spring 2021: Advanced infinitesimal calculus 2.
Fall 2021: Linear algebra for chemistry students.
Spring 2020: Introduction to topology.
Fall 2020: Infinitesimal calculus 2.
Spring 2019: Ordinary differential equations.
Fall 2019: Linear algebra 2.
Spring 2018: Algebraic structures 2 (Galois theory).
Fall 2018: Infinitesimal calculus 1.
Spring 2017: Elementary number theory.
Fall 2017: Linear algebra 1.
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