Aleksander Horawa

Home Research Teaching Notes Talks

Research Talks

Beilinson's conjecture for the Dwork family, Periods in Physics, Number Theory and Algebraic Geometry, Bonn, April 22-26, 2024. [recording]
Beilinson's conjecture for the Dwork family, Groupe de Travail (online), Paris, February 7, 2024.
Automorphic forms and higher algebraic cycles, Cambridge Number Theory Seminar, January 30th, 2024.
Automorphic forms and higher algebraic cycles, Seminaire Groupes Reductifs et Formes Automorphes, Paris, January 15th, 2024.
Automorphic forms and higher algebraic cycles, Eisenstein Days, UCL, December 19th, 2023.
Siegel modular forms and higher algebraic cycles, Iwasawa theory and cohomology of arithmetic groups, Bielefeld University, November 27th, 2023.
Siegel modular forms and higher algebraic cycles, Number Theory Seminar, Kyoto University, November 17th, 2023.
Siegel modular forms and higher algebraic cycles, International Seminar on Automorphic Forms (online), October 24th, 2023.
Siegel modular forms and higher algebraic cycles, Oxford Number Theory Seminar, October 19th, 2023.
Algebraic cycles and the Langlands program, Y-RANT V, Cambridge, September 6th, 2023.[slides]
Motivic action conjectures, Imperial College London, June 2 and 9, 2023. [notes]
Motivic action conjectures, Arithmetic Geometry Seminar, University of Milan, April 21st, 2023.
Motivic action conjectures, Motives and Automorphic Forms, MPIM Bonn, March 6th, 2023. [slides]
Motivic action conjectures, Number Theory Seminar, Sheffield University, February 7th, 2023.
Motivic action on coherent cohomology of Hilbert modular varieties, Number Theory Seminar, Warwick University, November 21st, 2022.
Motivic action on coherent cohomology of Hilbert modular varieties, Algebra and Number Theory Seminar, Queen Mary University of London, October 14th, 2022.
Modular forms, Galois representations, and cohomology of line bundles, Junior Number Theory Seminar, University of Oxford, October 10th, 2022.
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

Tate's thesis: Global results I, Tate's Thesis Seminar, University of Oxford, May 25th, 2023.
The Drinfeld case, Rapoport-Zink Seminar, University of Oxford, March 2nd, 2023.
Bitcoin, elliptic curves, and this building, North Meets South Colloquium, University of Oxford, February 22nd, 2023. [slides]
Automorphic representations, Automorphic Representations Seminar, University of Oxford, February 23rd, 2023.
Modularity Lifting, part I, Modularity Lifting Seminar, University of Oxford, November 24th, 2022.
The space |Y|, part II, Fargues--Fontaine seminar, University of Oxford, November 3rd, 2022.
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.

Seminars at UM

Past 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

Player at Summertown Stars AFC in the Oxfordshire Senior League, 2022--present.
Organizer of Directed Reading Program, Universtiy of Michigan, 2019--2022.
Organizer of Student Arithmetic, University of Michigan, 2018--2022.
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.