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Vivek Pal

Visiting Assistant Professor

Department of Mathematics

Columbia University

vpal@math.columbia.edu



Seminars
Fall 2014: I am organizing the student number theory seminar on the Gross-Zagier formula.
Spring 2015: David Hansen and I are organizing the student number theory seminar on p-adic geometry.
Fall 2015: David Hansen and I are organizing the student number theory seminar on p-adic L-functions.
Winter 2015-2016: Wei Zhang is organizing a reading seminar on the Fargues-Fontaine Curve.

Teaching

Fall 2013: Calculus II Section 3
Spring 2014: Calculus II Section 2
Spring 2016: The Magic of Numbers
Summer 2016: Calculus II Section 1
Fall 2017: Calculus II Section 4
Fall 2017: The Magic of Numbers

Spring 2018: Calculus II Section 2

Recent Talks
Spring 2016: Pacific Northwest Number Theory Conference @ Oregon State University
Spring 2016: Number Theory Seminar at Northwestern
Fall 2015: Dorian Goldfeld's Number Theory Seminar @ Columbia
August 2015: "Norm compatibility relations" at the Arithmetic of Euler Systems workshop in Benasque, Spain
Spring 2015: Dorian Goldfeld's Number Theory Seminar @ Columbia

Papers and Pre-prints

Simultaneous twists of elliptic curves and the Hasse principle for some K3 surfaces, Submitted April 2014

Isomorphisms of Algebraic Number Fields, Accepted to Journal of Number Theory Bordeaux (JNTB) February 2012: Pre-print

Periods of quadratic twists of elliptic curves. With an appendix by Amod Agashe. Proc. Amer. Math. Soc. 140 (2012), no. 5, 1513 1525.Pre-print


I have implemented two versions of the Isomorphisms of Number Fields problem. The first one should be faster if there are many isomorphisms and the second one was faster in many examples.

The degree 81 example is located at: Degree 81

The output of the Degree 81 example, with running time is: here and here.