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Ben Ingimarson is a second-year PhD student who has already authored four papers on the analysis of partial differential equations, with a focus on fluid dynamics. His work centers on the 3D incompressible Euler equations, for which he establishes new local well-posedness results under low regularity assumptions and develops regularity criteria for potential singularity formation. In a separate direction, his second paper introduces a surprising mechanism for stabilization of a fluid–structure system by adding a vacuum bubble. He has also obtained quantitative bounds on the growth of vorticity near blow-up, shedding light on the mechanisms underlying singularity formation in the Euler equations. While the classical Beale–Kato–Majda criterion shows that blow-up is tied to the growth of cumulative vorticity, it does not describe this growth in detail; in his two most recent papers, Ben derives explicit lower bounds that provide new insight into this phenomenon.

PhD students participated in the Dornsife Graduate Student Soccer Cup and placed 5th in this year's tournament!

The participants were (from left to right in the photo) Jack Zhang, Diego Diaz, Hunter Hewitt, Felix Gu, and Bixing Qiao. 

The Erdős Institute's Summer 2026 Cohort Enrollment is Now Open!

The Erdős Institute is a multi-university collaboration dedicated to helping PhDs secure rewarding jobs in industry at every stage of their career, and supplements professional development mentorship in graduate school programs. 

It offers fully remote, project-based certificate Boot Camps (Data Science, Quant Finance, Quantum Computing, UX Research, and Deep Learning) and asynchronous mini-courses (Python Prep, Data Visualization, Software Engineering for Data Scientists) are taught by former academics for current academics. It also offers career coaching and industry placement services.

Summer 2026 Cohort Details

Program Dates: May 18 – August 21, 2026

Format: Fully remote (all synchronous sessions are recorded)

Enrollment Deadline: Monday, May 11, 2026, at 11:45 PM ET

Enrollment Fee: $500 for new participants; $250 for Erdős Alumni Club members

Enroll Here: https://www.erdosinstitute.org/cohort/summer-2026/enrollment

The Fall Graduate Exams registration form is now open! The Mathematics Graduate Exams will be offered between August 17-19, 2026.

You can change your selections up until July 17, 2026.

The Mathematics TA Preference Form for the Fall 2026 semester is now open. Please use this form to indicate your teaching preferences for Fall 2026.

Please complete this form by Friday, May 15, 2026.

The Math Department is preparing for MATHEMATICS Ph.D. student offices shuffle this summer! Thank you for your cooperation in helping us create a respectful and organized office environment for all graduate students. 

Please complete this form by Friday, May 15, 2026.

It's time to plan your funding source (TA-ship, RA-ship, Fellowship, or Other) for the 2026-2027 academic year. Although you will be able to change your decision if unexpected circumstances arise, please try to make your final decisions before May 15 for Fall 2026 funding and November 1st for Spring 2027 funding.

Please complete this form by May 15, 2026. 

We have now created a form for students approaching their Oral Qualifying Exam. The form will outline the steps for signing up for the oral exam and provide the student services team with the information needed to complete the required paperwork.