Steven M. Heilman
Assistant Professor RTPC of Mathematics
University of Southern California
3620 S. Vermont Ave.
Los Angeles, CA 90089-2532
Office: Kaprielian Hall 406G
Office Phone: 213-740-2400
stevenmheilman(@-symbol)gmail.com
Research
Teaching
Arxiv , Google Scholar
GitHub
CV
Recent Updates:
New preprint: On the Convergence of Adam, Revisited , July 2026, shows nonconvergence of Adam for all parameters, extending a 2018 result of Reddi-Kale-Kumar
New preprint: An Upper Bound on Grothendieck's Constant , June 2026, resolves a 2011 conjecture of Braverman-Makarychev-Makarychev-Naor
New preprint: Trees and Graphs with Non Log-concave Dominating Set Sequence via AI Tools , May 2026
New preprint: Indepedent Sets and Continued Fractions , April 2026, considers Linek's problem from 1989
New preprint: A lower bound for Grothendieck's Constant , March 2026, improves a 42 year old lower bound
Organizer for Seminar in Stochastic Processes at USC , March 2027
Discussed AI Ethics with USC Annenberg Media , November 2025
Discussed NSF grants on NPR's Planet Money Podcast , February 2025
NSF CCF Grant AF: Small ($200,000) 2448108 awarded, 2025 -- 2028
Paper Accepted to Annals of Probability, September 2024 (Sphere Valued Noise Stability and Quantum MAX-CUT Hardness).
Organizer for HIM Conference, Information theory, Boolean functions, and lattice problems , November 18-22, 2024. Part of the Trimester Program Boolean Analysis in Computer Science .
See recent videos of the USC Probability and Statistics Seminar on our Youtube Channel .
Organizer for IPAM Conference, Calculus of Variations in Probability and Geometry , February 7-11, 2022.
A general interest article about susceptibility of the electoral college appeared in The Conversation , 16 July 2020.
Discussed Voting Methods on the Data Skeptic Podcast , 31 August 2020.
Requests for supervising high school students, tutoring, supervising undergraduate research, TA/grader, etc. [click here]
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