Analytic Combinatorics,  Modular  Forms,   and  Number  Theory  REU

June 23 - August 1, 2025.

The 2025 USC Number Theory REU is a six-week research experience for undergraduates, held in Columbia, SC (Cola City). While federal funding will not proceed this summer, thanks to generous support from Jane Street, we are able to offer a scaled-down version of the program. Participants will work in two groups, exploring topics in analytic combinatorics, modular forms, and number theory. These include problems in combinatorial and number-theoretic sequences, modular form congruences, integer partitions, and related research areas.

As a participant, you will join the research program of a faculty mentor, working alongside graduate students and engaging in regular discussions with your mentor. The program is designed to provide a collaborative and immersive research experience, fostering close mentorship and meaningful academic interactions.

Each summer, 2-3 plenary speakers will be invited to share insights from their research and their experiences with REU programs. The program also features a weekly professional development seminar series, enrichment activities, and social events with other REU students. At the end of the summer, participants will present their research at the Summer Research Symposium, joining students from other summer research programs at USC.

The program will run from June 23 to August 1, 2025, and will provide a small stipend to participants.

Participation & Program Details

  • Dates:   Monday, June 23 to Friday, August 1, 2025.

  • Location:   Mathematics Department, University of South Carolina, Columbia, SC.

  • Mentors:

      Matthew Boylan     University of South Carolina  
      Wei-Lun Tsai     University of South Carolina  

  • Plenary Speakers:

      Frank Thorne     University of South Carolina  
      Hui Xue     Clemson University  

  • Graduate Student Mentors:

      Swati     University of South Carolina  
      Tapas Bhowmik     University of South Carolina  

  • Application and Deadline:

      The online application for summer 2025 is available now, and applications are due April 11, 2025, at 11:59 PM EST. To apply, please complete the following:

    • Additional Resources

  • Directions to campus:   The University of South Carolina is locatedin Columbia, South Carolina. The mathematics department is in LeConte College, at the corner of Greene and Pickens Streets.You can also use (for example) Mapquest for directions.

  • Parking:   Visitor meter lots (in green) are free on weekends. Summer parking permits can be purchased here.

  • Research Workshops:   Summer research seminar series schedule from last year is here.

  • Research Symposium:   Summer research symposium from last year is here.

  • Organizers:   Matthew Boylan • Wei-Lun Tsai.

    Please feel free to e-mail us (uscntreu@gmail.com) if you have any questions.

    This REU program is made possible through the generous support of the following sponsors. Thank you!

    Last updated: 4/15/2025.

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