Yinan Zhang

I am now at the Mathematical Sciences Institute at the Australian National University.

I remain affiliated with the University of Sydney as an honorary associate in the School of Mathematics and Statistics.


Email: yinan.zhang@anu.edu.au
Phone: +61 2 6125 4797


Research Interests

My PhD was on p-adic verification of class groups through computing p-adic L-functions. I am interested in various aspects of p-adic number theory, including p-adic Galois representation and class field theory.

I am a member of the Computational Algebra research group.

Curriculum vitae

Publications

Tommy Hofmann, Yinan Zhang. Valuations of p-adic regulators of cyclic cubic fields, Journal of Number Theory, volume 169, pp. 86-102 (pdf)

Claus Fieker, Yinan Zhang. An application of the p-adic analytic class number formula, LMS Journal of Computation and Mathematics, volume 19, issue 01, pp. 217-228 (pdf)

p-adic verification of class number computations, PhD thesis, 2013 (pdf)

Presentations

Valuations of p-adic regulators of cubic cyclic fields, Number Theory Down Under 4, University of Newcastle, September 2016

Number Theory Seminar, Technische Universitat Kaisersläutern, June 2015

p-adic Computation of the class group: results and analysis, 57th Australian Mathematics Society Annual Meeting, The University of Sydney, October 2013 (pdf)

Verifying p-valuation of class numbers, seminar, Peking University, July 2013 (pdf)

Verifying p-valuation of class numbers, Magma seminar, The University of Sydney, June 2013 (blackboard talk, very similar to the one above)

p-adic Computation/Verification of the class group, 56th Australian Mathematics Society Annual Meeting, University of Ballarat, September 2012 (pdf)

An algorithm for verifying the p-part of the class group (poster), 10th Algorithmic Number Theory Symposium, University of California San Diego, July 2012 (pdf)

Teaching

I have taught a variety of 1st, 2nd and 3rd year courses in many different areas of mathematics (full list).

I was the lecturer for the Summer School course Mathematical Modelling from 2011 to 2013.

Data and code

Code to compute p-valuation of the class group (m)

Computation time of p-adic zeta functions for selected number fields (xlsx)

Batch code used to generate the above data (you'll have to supply your own set of fields) (m)