​       Papers produced during this summer:​

• Kirillov's conjecture on Hecke-Grothendieck polynomials, B. Brubaker, A. S. Dasher, M. Hu, N. Jain, Y. Li, Y. Lin, M. Mihaila, V. Tran, I. D. Ünel, International Mathematics Research Notices 2026, Issue 2, January 2026, rnaf380.

• Improved critical drift estimates for the frog model on trees, Poly Mathews Jr, Electronic Communications in Probability 29 (2024): 1-14.

• Covering half-grids with lines and planes, A. Bishnoi, S. Nene, submitted.

• Sums of Powers of Primes in Arithmetic Progression, M. Boran, J. Byun, Z. Li, S. J. Miller, and S. Reyes, PUMP 7, 29-5.

• Products and powers of principal symmetric ideals, E. Dannetun, R. Formenti, B. Y. Gao, J. Geraci, R. Kogel, Y. Li, S. Mandal, V. Rupasinghe, A. Seceleanu, D. Van Khank Tran, N. Walker, Journal of Algebra and Its Applications, 2550320.

• On Optimal Point Sets Determining Distinct Triangles, E. Palsson and E. Yu, Electronic Journal of Combinatorics (2024): P2-24.

• Ribbon numbers of 12-crossing knots, X. An, M. Aronin, D. Cates, A. Goh, B. Kirn, J. Krienke, M. Liang, S. Lowery, E. Malkoc, J. Meier, M. Natonson, V. Radić, Y. Rodoplu, B. Saha, E. Scott, R. Simkins, A. Zupan, Journal of Knot Theory and Its Ramifications 34.13 (2025).

• Optimal Doubling Thresholds in Backgammon-like Stochastic Games, H. Ju, D. Leifer, S. J. Miller, S. A. Padmanabhan, C. Sun, L. Tichi, B. Tocher, K. Wallace, Fibonacci Quarterly. 

• A simple evaluation of the quartic integral, V. H. Moll and W. S. Hendarto, Scientia Series A: Mathematical Sciences, 34, 75-79.

• The integrals in Gradshteyn and Ryzhik. Part 34: Bessel functions, G. Aakash, L. Amstrong, M. Bhattacharjee, I. Blackburn, A. Hale, W. S. Hendarto, T. Jabbour, J. Lentz, J. J. Lopez Santander, M. McGhee, V. H. Moll, N. Neweld, R. Sato, A. Shreepad, N. Smith, N. Tripathi, and Z. Zobair, Scientia Series A: Mathematical Sciences, 34, 109-129.

• Sum of consecutive terms of Pell and related sequences, N. Anand, A. K. Basisthab, K. B. Davenport, A. Gong, F. Luca, S. J. Miller, A. Zhu, The Fibonacci Quarterly (2025): 1-33.

• More to appear?

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Projects and Mentors: ​

• k-distances: Eyvindur Palsson, Adam Sheffer, Sara Fish, Bob Krueger, Nart Shalqini.

• Covering grids with hyperplanes: Anurag Bishnoi, Aditya Potukuchi, Daniel Hathcock, Kevin Pratt.

• Strength and symmetry of polynomials: Alexandra Seceleanu, Juliann Geraci, Matthew Hase-Liu.

• Games and Tools for Math Education: Jyoti Arora, Caro Williams-Pierce, Kwaku D, Peter Francis Moon.

• Solvable lattice models: Ben Brubaker, Alexis (Suki) Dasher.

• Surveys in theoretical computer science: Sherry Sarkar, Daniel Hathcock, Glenn Sun. 

• Critical drift for the frog model on trees: Matthew Junge, Emma Bailey, Chengkun Guo, Jiaqi Liu, Zoe McDonald, Si Tang.

• Hankel Operators on the Hartogs Triangle: Nathan Wagner, Ana Colovic.

• Toeplitz Operators on Bergman Spaces: Yunus Zeytuncu, Mehmet Celik, Zhenghui Huo, Kamryn Spinelli.

• Number Theory: Steven Miller, Faye Jackson, Chenyang Sun, Hung Chu.

• Ribbon numbers of ribbon knots: Jeffrey Meier, Alex Zupan, Erin Grimes, Sam Monkman.

• The method of brackets: Victor Moll, John Lopez Santander.

• Toy Models of Fluid Equations for Energy Cascades in Fluid Flow: Vincent Martinez, Oren Bassik.

• Modeling trail derailment using rod chains: Xianyi Zeng, Kaiwen Tan.