Carlos Caralps

PHD Student at Bielefeld University

Bielefeld, North Rhine-Westphalia, Germany
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Summary

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Carlos Caralps is a PhD student in Bielefeld specializing in algebraic number theory and algebraic geometry, with research focused on Heegner points, p-adic Kudla program, Euler systems and deep conjectures like Birch–Swinnerton-Dyer and Brumer–Stark. He combines strong international research experience—from Leiden and Barcelona to Laval—with a track record of undergraduate research roles and participation in education-innovation projects teaching the Lean theorem prover. Comfortable at the intersection of pure mathematics and formal verification, he is exploring how theorem provers can enhance mathematical education while pursuing advanced arithmetic research. Fluent in collaborative academic environments across Europe and Canada, he brings five years of research experience and a knack for translating abstract theory into teachable, verifiable artifacts.
code5 years of coding experience
job1 year of employment as a software developer
bookBachelor of Science - BSc Mathematics, Bachelor of Science - BSc Mathematics at Universitat Autònoma de Barcelona
bookMaster of Science - MS Algebra Geometry and Number Theory, Master of Science - MS Algebra Geometry and Number Theory at Leiden University
bookExchange Program, Exchange Program at Concordia University
bookMaster of Science - MS Algebra Geometry and Number Theory, Master of Science - MS Algebra Geometry and Number Theory at University of Duisburg-Essen
languagesCatalan, Spanish, English, French, Italian
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Github Skills (10)

formal-methods8
mathematical8
theorem-proving8
mathematics8
topology6
javascript6
math6
fixed-point6
rule3
theorem2

Programming languages (3)

LeanHTMLPython

Github contributions (5)

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Contributions:37 commits, 37 pushes in 2 days
Contributions:1 PR, 62 pushes, 2 branches in 2 months
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Carlos Caralps - PHD Student at Bielefeld University