Heidi Goodson

Assistant Professor
Mathematics

Location: 2313 Ingersoll Hall
Phone: 718.951.5000 x2731
Fax: 718.951.4674
Email: Heidi Goodson's Web site

Heidi Goodson is an Assistant Professor of Mathematics at Brooklyn College of the City University of New York. Her main topic of research is number theory.

Show Scholarly Activities and Professional Accomplishments

Education:

PhD, University of Minnesota - 2016 (Mathematics)

MA, Teachers College at Columbia University - 2008 (Mathematics Education)

BS, Northeastern University - 2005 (Mathematics and Philosophy)

Areas of Expertise:

Goodson's research in the field of number theory focuses on studying arithmetic properties of curves and higher dimensional varieties over finite fields.

Books and Publications

M. Emory, H. Goodson. "Sato-Tate Distributions of y^2=x^p-1 and y^2=x^{2p}-1." Journal of Algebra, Volume 597 (May 2022), pages 241 - 265. (Books and Publications: Article (Peer-reviewed)) 2022

Goodson, H. "Sato-Tate Distributions of Catalan Curves." 29 pages. Submitted. (Books and Publications: Article (Peer-reviewed)) 2021

Goodson, H. and Hoyer-Leitzel, A. "Examining the Modeling Framework of Crime Hotspot Models in Predictive Policing," Journal of Humanistic Mathematics, Volume 11 Issue 2 (July 2021), pages 465-476. (Books and Publications: Article (Peer-reviewed)) 2021

M. Emory, H. Goodson, and A. Peyrot. "Towards the Sato-Tate Groups of Trinomial Hyperelliptic Curves," International Journal of Number Theory. Volume No. 17, Issue No. 10, pp. 2175 - 2206, Year 2021 (Books and Publications: Article (Peer-reviewed)) 2021

H. Goodson. "An Identity for Vertically Aligned Entries in Pascal's Triangle." Notes on Number Theory and Discrete Mathematics, Volume 26, number 2 (July 2020), pages 213-221. (Books and Publications: Article (Peer-reviewed)) 2020

H. Goodson. "A Few Firsts in the Epsilon Years of My Career." Journal of Humanistic Mathematics, Volume 9 Issue 2 (July 2019), pages 187-191. (Books and Publications: Article (Other)) 2019

H. Goodson. ``Hypergeometric Properties of Genus 3 Generalized Legendre Curves," Journal of Number Theory. 186. p 121 - 136. (Books and Publications: Article (Peer-reviewed)) 2018

Awards, Honors and Fellowships

PSC-CUNY Award (reference TRADB-53-32): $6,000 (Grants and Fellowships) 2022

AiM Research Community workshop funding, Co-PI. $28,750 (Grants and Fellowships) 2022

National Science Foundation grant (DMS - 2201085) to support Goodson's research in number theory and arithmetic geometry in 2022-2025. $255,423. (Grants and Fellowships) 2022

Number Theory Foundation Conference Grant, Co-PI ($3000) (Grants and Fellowships) 2022

PSC-CUNY Award (reference TRADB-52-87): $6,000 (Awards and Honors) 2021

Number Theory Foundation Conference Grant, Co-PI ($3000) (Grants and Fellowships) 2021

PSC-CUNY Award (reference TRADB-51-29): $6,000 (Grants and Fellowships) 2020

Awarded Membership to Summer Research for Women in Mathematics (SWiM) at MSRI, Berkeley, California (Grants and Fellowships) 2019

AWM-NSF Travel Grant: $2000 (Grants and Fellowships) 2019

PSC-CUNY Award (reference TRADB-50-32): $6,000 (Grants and Fellowships) 2019

Research Activities

Guest/Research Visitor at the Max Planck Institute for Mathematics in Bonn, Germany (March 2022 - April 2022). 2022

Conferences, Seminars and Symposiums

"Sato-Tate Groups in Dimension Greater than 3," Diamant Symposium in Utrecht, The Netherlands (April 2022). (Conferences, Seminars and Symposiums: Invited Talk) 2022

"Sato-Tate Groups in Dimension Greater than 3," Number Theory Lunch Seminar, Max Planck Institute for Mathematics in Bonn, Germany (March 2022). (Conferences, Seminars and Symposiums: Invited Talk) 2022

"Sato-Tate Groups in Dimension Greater than 3," Number Theory Seminar at the University of California - Irvine (January 2022). (Conferences, Seminars and Symposiums: Invited Talk) 2022

"Sato-Tate Groups in Dimension Greater than 3," Number Theory Seminar at Universitat de Barcelona, Barcelona, Spain (April 2022). (Conferences, Seminars and Symposiums: Invited Talk) 2022

"Sato-Tate Groups in Dimension Greater than 3," Representation Theory / Number Theory Seminar at the University of Utah (February 2022). (Conferences, Seminars and Symposiums: Invited Talk) 2022

"Sato-Tate Groups in Dimension Greater than 3," Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation Annual Meeting (January 2022). (Conferences, Seminars and Symposiums: Invited Talk) 2022

"Sato-Tate Groups in Dimension Greater than 3,"UBC Number Theory Seminar at the University of British Columbia (January 2022). (Conferences, Seminars and Symposiums: Invited Talk) 2022

"Sato-Tate Distributions of Jacobian Varieties," AMS Special Session on A Showcase of Number Theory at Undergraduate Institutions at the Joint Mathematics Meetings (Conferences, Seminars and Symposiums: Invited Talk) 2021

"Sato-Tate Distributions of y^2=x^p − 1 and y^2 = x^{2p} − 1," AMS Fall Eastern Sectional Meeting, Special
Session on Automorphic Forms and Galois Representations. (Conferences, Seminars and Symposiums: Invited Talk) 2020

"Sato-Tate Groups of Trinomial Hyperelliptic Curves," AMS Special Session on Rational Points on Algebraic Varieties: Theory and Computation at the Joint Mathematics Meetings in Denver, CO. (Conferences, Seminars and Symposiums: Invited Talk) 2020

"Sato-Tate Groups of Trinomial Hyperelliptic Curves," Tufts University Algebra, Geometry, and Number Theory Seminar (canceled due to COVID-19) (Conferences, Seminars and Symposiums: Invited Talk) 2020

"Sato-Tate Groups of Trinomial Hyperelliptic Curves," Number Theory Seminar at University of Illinois at Chicago. (Conferences, Seminars and Symposiums: Invited Talk) 2019

"Sato-Tate Groups of Trinomial Hyperelliptic Curves," Number/Representation Theory Seminar at The University of Toronto. (Conferences, Seminars and Symposiums: Invited Talk) 2019

"Sato-Tate Groups of Trinomial Hyperelliptic Curves," Philadelphia Area Number Theory Seminar at Bryn Mawr College. (Conferences, Seminars and Symposiums: Invited Talk) 2019

"Vertically Aligned Entries in Pascal's Triangle and Applications to Number Theory," 17th annual Meeting on Combinatorial and Additive Number Theory. (Conferences, Seminars and Symposiums: Invited Talk) 2019

"Vertically Aligned Entries in Pascal's Triangle and Applications to Number Theory," Hofstra University Mathematics Seminar. (Conferences, Seminars and Symposiums: Invited Talk) 2019

Professional Leadership

Co-organizer of Rethinking Number Theory research workshop (virtual) 2020 - 2022 (Professional Leadership: Organizational Leadership Position) 2022

Co-organizer of the AMS Special Session on Rethinking Number Theory at the Joint Mathematics Meetings (virtual). (Professional Leadership: Organizational Leadership Position) 2022