# Bruce Reznick

Professor

"The John and Harriet J. Absentminded Professor of Mathematics"

Department of Mathematics

University of Illinois at Urbana-Champaign

1409 W. Green Street

Urbana, Illinois 61801-2975
Office: 327
Altgeld Hall

Office Tel: (217)333-4284

Dept. FAX: (217) 333-9576

e-mail:*reznick@illinois.edu*

## Spring 23 teaching

## Fall 22 teaching

## Fall 20 teaching

## Links relevant to Math 499 talk, 10/1/18

## CV-type links

## AMS Sectional Meeting, El Paso, Sept. 18, 2022

Slides of talk "Equal sums of two cubes"
Recording of talk

## Ramanujan Lecture 2021, University of Mauritius

Slides of talk,
October 28, 2021

## Oberwolfach MFO Workshop 2010 -- Real Algebraic
Geometry With a View Toward Hyperbolic Programming and Free Probability

Extended Abstract -- Lattice points in dilated simplices and sums of squares"
March, 2020

## SIAM-AG17, Atlanta

Moment Problems and Inequalities for Power Sums, August 4, 2017

## 2017 East Coast Computer Algebra Day

Rainy Day Lemmas #12 and 35 ,
April 29, 2017
## Oberwolfach MFO Workshop 1710 -- Real Algebraic
Geometry With a View Toward Moment Problems and Optimization

Extended Abstract -- Moment problems and psd symmetric polynomials,
March 10, 2017
## 2017 Joint Mathematical Meeting, Atlanta

Sums of powers of binary quadratic forms (corrected version),
January 4, 2017
## Algebraic Geometry Seminar, Purdue

Video of seminar, October 13, 2016
## Beijing Forestry University, May 26, 2016

The secret lives of polynomial identities
## Chern Institute of Mathematics, Nankai University -- TMA 2016

Sums of powers of forms (corrected version), May 24, 2016
## Boise State University, April 21, 2016

The secret lives of polynomial identities
## 2016 Spring Sectional Meeting, North Dakota State University

Sums of powers of binary quadratic forms, April 16, 2016
## Ramanujan Competition Awards Ceremony, University of Mauritius

Ramanujan Memorial Lecture, March 2, 2016
## Luminy --Structures algébrique ordonnées et leurs interactions

Ternary forms with lots of zeros (slightly corrected version),
October 16, 2015
## 2015 Fall Sectional Meeting, Loyola-Chicago

Quotients of sums of distinct powers of three, October 3, 2015

## SIAM-AG15, Daejeon, South Korea

Discrete zeros of real ternary psd forms, August 5, 2015
Waring rank and the underlying field, August 6, 2015

## 2014 SIAM Conference on Optimization, San Diego

Real psd ternary forms with many zeros, May 21, 2014

## 2014 Joint Mathematical Meetings, Baltimore

Beamer pages **Material related
to the talk "Every math major should know this crazy
theorem." **

## NUS-IMS Program on Inverse Moment Problem, Beamer talks, Singapore

From Banach spaces to moments to positive polynomials, December 2,
2103
Public lecture: A walk down the algebraic-geometric mean streets of
mathematics, December 17, 2103
Ternary forms with lots of zeros (not a complete beamer talk, mostly
equations and pictures), December 19, 2013.

## Eastern Illinois University, October 4, 2013

The secret lives of polynomial identities (slightly corrected)

## SIAM-AG13, August 2, 2013, Ft. Collins

On elliptesque and hyperbolesque curves (slightly corrected, twice)
Forms as sums of powers of lower degree forms (slightly corrected,
with a bonus new last page!)

## REGS minicourse home page

Summer 2013

## Math 499 Beamer Talk, March 29, 2013

The secret lives of polynomial identities

## SIAM 2012, July 13, 2012)

Klein's idea and identities for powers of polynomials
Both beamer slides and a recording of the talk with moving slides!

## Seattle Beamer Talk, May 18, 2012

The secret lives of polynomial identities My 5/18/12 talk,
with a few corrections.

## Chicago Beamer Talk, December 8, 2011

An updated version of the "steampunk canonical forms" talk.

## Banff Beamer Talk, November 17, 2011

A shorter version of the seminar talks, with some new stuff

## Seminars on November 1, 2011

Longer abstract of my two seminar
talks in number theory and geometry/AGC on November 1, 2011.
Linearly dependent powers of quadratic forms A combination of the
beamer slides for the two seminars.

## Algecom5 Beamer Talk, October 29, 2011

Steampunk canonical forms 10/29/11 talk, an evolution of
the
talks of 3/19/11 and 10/7/11.
## Raleigh and Steampunk Canonical Form Material

Material relevant to my
presentation at the SIAM Conference on Applied Algebraic Geometry,
10/7/11.

## Claremont Beamer Talk

The secret lives of polynomial identities My 9/21/11
talk.

## Konstanz Beamer Talk

The secret lives of polynomial identities My 6/30/11 talk,
with a few corrections.

## Iowa Beamer Talk

Material relevant to my
presentation at the Iowa City Sectional Meeting, 3/19/11

## Math 499 (2010-2011) Talk

The secret lives of polynomial identities

## Presentation at the Memorial to Jerry Uhl, held on 11/6/10:

Adaptation of retirement talk given on 5/4/08

## Presentation at the Gathering for Gardner, held on 10/21/10:

Thanks from an appreciative reader

## Presentation at the Departmental Memorial, held on 10/23/13:

On Paul and Felice Bateman
## At Sinai Temple, 10/19/16:

On Joe Rotman
## Notices of the AMS Book review

"From Zero To Infinity, 50th Anniversary Edition"
by Constance Reid

## When it comes to advice, I'm full of it

## Areas of Specialization

Combinatorial methods in algebra, analysis and number theory,
usually involving polynomials or polytopes.
## .pdf files of recent papers (most recent at top)

## Seminar Notes

## Ph.D. Students

Prof. Julie Simon (Ph.D. 1989)

Prof. William Harris (Ph.D. 1992)

Ms. Colleen Kilker (1977-2002)

Prof. Ricardo Rojas (Ph.D. 2008)

Dr. Han Duong (Ph.D. 2008)

Prof. Supawadee Prugsapitak (Ph.D. 2009)

Prof. Melissa Dennison (Ph.D. 2010)

Dr. Milos Curcic (Ph.D. 2013)

Dr. Jennifer Weber Lansing (Ph.D. 2014)

Prof. Katie Anders (Ph.D. 2014)

Prof. Wipawee Tangjai (Ph.D. 2014)

Prof. Neriman Tokcan (Ph.D. 2017)

Prof. Sakulbuth Ekvittayaniphon (Ph.D. 2018)

Prof. Simone Sisneros-Thiry (Ph.D. 2020)

Prof. Dana Neidinger Neidmann (Ph.D. 2022)

Benjamin Wright

Grace Jaffe

## Podcast!

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