AMIT OPHIR
AMIT OPHIR
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Email: amit.ophir followed by @ followed by Weizmann.ac.il
Office:
ABOUT
I am a postdoc at the Weizmann institute, working with Professor Mark Shusterman. Before that I was an S.E.W. Visiting Assistant Professor at UCSD, and I worked there with Professor Claus Sorensen. I earned my PhD degree from 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, modular representation theory.
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, modular representation theory.
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.
Other writings
The Banach Schrödinger representation
This note contains a proof of the fact that the Banach Schrödinger representation is topologically irreducible. It is then used to highlight fundamental differences between irreducible unitary and irreducible Banach representations.A list of problems (coming soon)
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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