Aleksander Horawa

Research Talks

• Motivic action on coherent cohomology of Hilbert modular varieties, Number Theory Seminar, Università degli Studi di Padova, April 21st, 2022.
• Motivic action on coherent cohomology of Hilbert modular varieties, Number Theory Seminar, The Ohio State University, March 21st, 2022.
• Motivic action on coherent cohomology of Hilbert modular varieties, Number Theory Seminar, Duke University, March 16th, 2022.
• Motivic action conjectures, RTG Seminar on Number Theory, University of Michigan, February 14th, 2022.
• Motivic action on coherent cohomology of Hilbert modular varieties, Princeton/IAS Number Theory Seminar, February 3rd, 2022.
• Motivic action on coherent cohomology of Hilbert modular varieties, Ramanujan-Serre Number Theory Seminar, University of Virginia, January 28th, 2022.
• Motivic action on coherent cohomology of Hilbert modular varieties, Junior Number Theory Days, Johns Hopkins University, December 4--5, 2021.
• Modular forms, Galois representations, and cohomology of line bundles, Algebra, Combinatorics, and Geometry Seminar, University of Pittsburgh, October 14th, 2021.
• Motivic action on coherent cohomology of Hilbert modular varieties, UCLA Number Theory Seminar (virtual), October 11th, 2021.
• Motivic action on coherent cohomology of Hilbert modular varieties, Quebec-Vermont Number Theory Seminar (virtual), April 15th, 2021.
• Motivic action on coherent cohomology of Hilbert modular varieties, RTG Seminar on Number Theory (virtual), University of Michigan, September 28th, 2020.

Research Poster

• Motivic action on coherent cohomology of Hilbert modular varieties [Poster], miniMAGNTS 2021, August 11th, 2021.

Expository Talks

• Proof of the Mordell Conjecture: outline, DRAGON seminar on Lawrence--Venkatesh, University of Michigan, June 28th, 2021.
• Compactifications of Shimura varieties, Shimura varieties seminar, University of Michigan, February 5th, 2020.
• Shimura varieties and the Langlands correspondence, Student arithmetic, University of Michigan, February 5th, 2020.
• Condensed abelian groups, Arithmetic geometry learning seminar (Condensed mathematics), University of Michigan, September 19th, 2019.
• The BSD Conjecture, Student Arithmetic, University of Michigan, September 18th, 2019.
• Weil conjectures, Etale cohomology learning seminar, University of Michigan, April 17th, 2019.
• Elliptic curves factorization, Student Arithmetic, University of Michigan, January 23rd, 2019.
• Hodge--Tate decomposition for abelian varieties, p-adic Hodge theory learning seminar, University of Michigan, October 5th, 2018.
• Modular forms and elliptic curves , Student Arithmetic, University of Michigan, October 3rd, 2018.
• Construction and geometric interpretation of f, Arithmetic Geometry Learning Seminar (Drinfeld), University of Michigan, May 22nd, 2018.
• The BSD conjecture and the Gross--Zagier formula, Student Arithmetic, University of Michigan, March 28th, 2018.
• Local to global principles (and the Tate--Shaferevich group), Student Arithmetic, University of Michigan, October 30th, 2017.
• Applications of inflation, restriction, and corestriction maps, Local Class Field Theory Learning Seminar, University of Michigan, September 26th and October 3rd, 2017.
• The Carlitz Module, part 1 [notes by Takumi Murayama], Arithmetic Geometry Learning Seminar (Drinfeld Modules), University of Michigan, September 15th, 2017.
• Mini-Course on Elliptic Curves and the Mordell-Weil Theorem [notes], Summer Mini-Courses 2017, University of Michigan, June 12--16, 2017.
• Adeles and Ideles [notes by Angus Chung], Class Field Theory Learning Seminar, University of Michigan, February 22nd, 2017.
• Elliptic Curve Cryptography, Student Arithmetic, University of Michigan, December 7th, 2016.
• The Local-Global Principle and the Adeles, Warwick Imperial Spring Meeting, Imperial College London, March 5th, 2016.
• Primes in Arithmetic Progressions and L-functions, Warwick Imperial Autumn Meeting, University of Warwick, November 28th, 2015.
• Elliptic Curves and the State of Surveillance [website] [slides], Undergraduate Mathematics Colloquium, November 24th, 2015.
• Finite Homogeneous Structures, Warwick Imperial Spring Meeting, Imperial College London, March 7th, 2015.
• Irreducible Varieties and the Zariski Topology, Study Group on Commutative Algebra and Algebraic Geometry, Imperial College London, March 4th, 2014.
• Elliptic Curves and the State of Surveillance [slides], Tomorrow's Mathematicians Today, University of York, February 21st, 2015.
• Elliptic Curves and Factorization [notes], Undergraduate Mathematics Colloquium, November 28th, Imperial College London, 2014.
• Rings and Ideals, Study Group on Commutative Algebra and Algebraic Geometry, Imperial College London, November 13th, 2014.

Ongoing research seminars at UM

• RTG Seminar on Number Theory.
• Group, Lie and Number Theory.

Learning seminars at UM

• Student Arithmetic, ongoing.
• Shimura varieties learning seminar, Summer 2020.
• DRAGON Seminar, Summer 2020.
• Arithmetic Geometry Learning Seminar (Condensed mathematics), Winter 2019.
• Arithmetic Geometry Learning Seminar (Drinfeld Modules), Fall 2017.
• Class Field Theory Learning Seminar, Winter 2017.

Activities

• Organizer of Directed Reading Program, Universtiy of Michigan, Winter 2019--present.
• Organizer of Student Arithmetic, University of Michigan, 2018--present.
• Organizer of Undergraduate Mathematics Colloquium, Imperial College London, 2015--16.
• Captain of the Imperial College Futsal Team, 2014--16.
• Organizer of the Study Group on Commutative Algebra and Algebraic Geometry, Imperial College London, 2014--15.