# Raphael Tsiamis

Mathematics PhD Student at Columbia University

Advised by Simon Brendle

Supported by:

AB/AM in Mathematics from Harvard University

[ 2023, Magna cum Laude with Highest Honors in Mathematics. Recipient of the Wister Prize ]

Email: r dot tsiamis at columbia dot edu

Research

Cohomogeneity two Ricci solitons with sub-Euclidean volume (with B. Firester)

[ arXiv ] 2024Eigenvalue estimates on shrinkers (with S. Brendle)

[ arXiv ] 2024, submittedUniqueness of semigraphical translators (with F. Martín, M. Sáez)

[ arXiv ] 2023, submitted

Expository

Senior Thesis

Hyperkähler manifolds and Hyperkähler moduli spaces via reduction and GIT (advised by Richard Melrose and Yum-Tong Siu)

Harvard University, 2023. Awarded Highest Honors in Mathematics

Lecture Notes

Analysis and Applications of Harmonic Maps (Fall 2023), notes from a course taught by Fanghua Lin at NYU.

Talks and Conferences

MFO Workshop "Analysis, Geometry and Topology of Positive Scalar Curvature Metrics" (2024, Oberwolfach, Germany)

Geometry Seminar at the University of Granada (2024, Granada, Spain)

Harvard Math Table (2023, Cambridge, US)

Analysis and Geometry Seminar at the Aristotle University of Thessaloniki (2022, Thessaloniki, Greece)

15th Panhellenic Geometry Conference (2022, Ioannina, Greece)

Teaching

Teaching Assistant at Columbia University, 2024 - present

Math GU4032: Fourier Analysis, taught by Simon Brendle (Fall 2024)

Course Assistant at Harvard University, 2020 - 2023

Math 212BR: Advanced Real Analysis, taught by Yum-Tong Siu (Spring 2023)

Awarded Derek Bok Center Certificate of Distinction in TeachingMath 137: Algebraic Geometry, taught by Fabian Gundlach (Spring 2022)

Math 124: Number Theory, taught by Melanie Matchett Wood (Fall 2021)

Math 232A: Graduate Algebraic Geometry, taught by Elden Elmanto (Fall 2020)

Math 137: Algebraic Geometry, taught by Brooke Ullery (Spring 2020)

Community

Seminar Organization at Columbia University

Regularity Theory of the Monge-Ampère equation (with Jingbo Wan and Yipeng Wang, Spring 2024)

Columbia Directed Reading Program, Mentor

Extremal metrics and K-stability (mentee: Zachary Lihn, Spring 2024)

Spin geometry and scalar curvature (mentee: Michael Tulskikh, Fall 2023)

CV

CV (last updated: September 2024)