Aleksander Horawa

Research Talks

• Special values of L-functions, Algebra and Number Theory Seminar, University College Dublin, Sept 19th, 2024.
• Special values of L-functions, Great Western Number Theory Seminar, University of Oxford, Sept 9th, 2024.
• Balanced triple product p-adic L-functions and the JL transfer in families, p-adic Families of Automorphic Forms: Theories and Applications, ICMS Edinburgh, July 12th, 2024. [video]
• Special values of L-functions, Junior Number Theory Seminar, University of Oxford, May 27th, 2024. [notes]
• The equivariant BSD conjecture via p-adic L-functions, Heilbronn Number Theory Seminar, University of Bristol, May 1st, 2024. [notes]
• Beilinson's conjecture for the Dwork family, Periods in Physics, Number Theory and Algebraic Geometry, Bonn, April 22-26, 2024. [video] [notes]
• 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. [video]
• 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 2nd and 9th, 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. [video]
• 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

• Mathai-Quillen Theory, Eisenstein Cocycles Seminar, University of Oxford, May 23rd, 2024.
• Galois representations attached to Hilbert modular forms, Global Reciprocity Seminar, University of Oxford, February 15th, 2024.
• Mod p representations of GL(2, Q_p), Montreal Functor Seminar, University of Oxford, January 25th, 2024.
• The global Shimura correspondence, Theta Correspondence Seminar, University of Oxford, November 9th, 2023.
• The local Shimura correspondence, Theta Correspondence Seminar, University of Oxford, November 2nd, 2023.
• 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

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

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.