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Website of Bora Çalım

about me

• Some thoughts of usage of AI in math can be found here.
• A CV is available here (last updated May 2026). My email address can be found in the CV. For any sort of mathematical discussion, do not hesitate to contact.
• I am a second year PhD student in mathematics at Rutgers University. Prior to this, I was an undergraduate at Koç University.
• I describe my mathematical interests as "developing and using techniques for estimating quantities, especially of combinatorial interest". I am particularly interested in quantitative aspects of additive combinatorics and analysis of boolean functions. My other interests include, but are not limited to, real-variable harmonic analysis, combinatorial aspects of geometric measure theory and high-dimensional probability.
• Various mathematical notes can be found here.

Publication(s)

• [1] Popular differences in primes along fractional powers, joint with I. Iakovakis, S. Long, J. Moffatt, D. Wooton, submitted, 2024. [1.1] Slides (many details skipped due to time constraint) Comments: There is not much in the slides. A highlight in the paper is bounding an exponential sum involving the floor function using the Erdos-Turan inequality.

A remark on pronunciation: My surname is pronounced as /t͡ʃaˈɫɯm/. If you cannot pronounce /ɯ/, the schwa /ə/ is an acceptable substitute, however it might be awkward to pronounce that in the stressed syllable for native English speakers. In this case even /ɪ/ is an acceptable substitute. In any case, it is more important to NOT pronounce the first letter as /k/ or /s/.