Jitendra Bajpai

Visiting Professor
Department of Mathematics
University of Kiel
Heinrich-Hecht-Platz 6
24118 Kiel, Germany

Contact responsible for this site: Jitendra Bajpai
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Research Interests

• Automorphic and Modular Forms : Classical and Vector-Valued.


• Cohomology of Arithmetic Groups : Boundary and Eisenstein Cohomology.


• Group Theory : Computational and Combinatorial.

Upcoming

• A short visit to IHP, Paris, France, October 20-November 3, 2024.


• I will be teaching a course on Automorphic Forms in winter term 2024-2025, Mathematics Department, University of Kiel, Germany.


• Groups and Topological Groups conference , Ljubljana, Slovenia, January 23-24, 2025.


• HSM Special Topic School: Recent developments around joint distribution in number theory and dynamics, Bonn, Germany, March 10-14, 2025.


• Oberwolfach Arbeitsgemeinschaft: Relative Langlands Duality, MFO, Germany, March 30- April 4, 2025.

Activities

• N Cube Days XXI, November 28-30, 2024, at University of Kiel, Germany.


• Growth and Expansion in Groups, mini workshop April 7-12, 2024, at MFO Oberwolfach, Germany.


• Motives and Automorphic Forms, in honour of Günter Harder's 85th Birthday, March 6-10, 2023, Max Planck Institute for Mathematics in Bonn, Germany.


• Motives and Arithmetic Groups, summer school in Strasbourg, France, June 13-17, 2022.


• Summer School on L2-Torsion and Symmetric Spaces, September 30-October 4, 2019, Mathematical Institute, University of Göttingen, Germany.

Publications

• A CFSG-free explicit Jordan's theorem over arbitrary fields (with Daniele Dona), preprint 2024.


• Relative Lie algebra cohomology of SU(2,1) and Eisenstein classes on Picard surfaces (with Mattia Cavicchi), preprint 2024.


• Commentory on Sp(6) hypergeometric groups, submitted 2024.


• New dimensional estimates for subvarieties of linear algebraic groups (with Daniele Dona and Harald Helfgott), In a special volume of Vietnam Journal of Mathematics, celebrating 60th Birthday of Pham Huu Tiep, 2024.


• Thin monodromy in O(5) (with Martin Nitsche), Annales Mathématiques du Québec, 2024.


• Bloch-Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces (with Mattia Cavicchi), preprint 2022.


• Arithmetic monodromy in Sp(2n) (with Daniele Dona and Martin Nitsche), submitted 2022.


• Lifting of vector-valued automorphic forms (with Subham Bhakta), submitted 2022.


• Thin monodromy in Sp(4) and Sp(6) (with Daniele Dona and Martin Nitsche), Journal of Algebra, 2024.


• Arithmeticity of some hypergeometric groups (with Sandip Singh and Shashank Singh), Linear Algebra and Its Applications, 2023.


• Growth estimates and diameter bounds for classical Chevalley groups (with Daniele Dona and Harald Helfgott), submitted 2022.


• Growth of Fourier coefficients of vector-valued automorphic forms (with Subham Bhakta and Renan Finder), Journal of Number Theory, 2023.


• Boundary and Eisenstein cohomology of G₂(ℤ) (with Lifan Guan), Research in Mathematical Sciences, 2022.


• Exponential sums in prime fields for modular forms (with Subham Bhakta and Victor García), Research in Number Theory, 2022.


• Euler characteristic and cohomology of Sp₄(ℤ) with nontrivial coefficients (with Ivan Horozov and Matias Moya Giusti), European Journal of Mathematics, 2023.


• Symplectic hypergeometric groups of degree six (with Daniele Dona, Sandip Singh and Shashank Singh), Journal of Algebra, 2021.


• Boundary and Eisenstein cohomology of SL₃(ℤ) (with Günter Harder, Ivan Horozov and Matias Moya Giusti), Mathematische Annalen, 2020.


• Ghost classes in rank two orthogonal Shimura varieties (with Matias Moya Giusti), Mathematische Zeitschrift, 2020.


• Commensurability and arithmetic equivalence for orthogonal hypergeometric monodromy groups (with Sandip Singh and Scott Thomson), Experimental Mathematics, 2020.


• On orthogonal hypergeometric groups of degree five (with Sandip Singh), Transactions of the American Mathematical Society, 2019.


• Lifting of modular forms, in a conference proceeding published by Publications Mathématiques de Besançon, 2019.


• Appendix B (with Daniele Dona) for English version of the article "Graph Isomorphisms in quasi-polynomial time" by Harald Helfgott, Seminaire Bourbaki, 69th year, 2016-2017, no. 1125, January 2017, arXiv 2017.


• Bilateral series and Ramanujan's radial limits (with Susie Kimport, Jie Liang, Ding Ma, James Ricci), Proceedings of the American Mathematical Society, 2014.

Education

• Ph.D. 2015, University of Alberta, Canada. Thesis Title: On Vector-Valued Automorphic Forms. Supervisor: Prof. Terry Gannon


• M.Sc. 2008, McGill University, Canada. Thesis Title: Omnipotence of Surface Groups. Supervisor: Prof. Dani Wise.


• M.Sc. 1998, C.S.J.M. University, Kanpur, India.


• B.Sc. 1995, C.S.J.M. University, Kanpur, India.

Employment

• Research Associate , January 2023 - August 2023, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton AB T6G 2G1, Canada.


• Postdoctoral Fellow , October 2021 - September 2022, Max-Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany.


• Postdoctoral Fellow, April, 2020 - September 2021. Institute of Geometry, Technical University of Dresden, Helmholtzstraße 10, 01069 Dresden, Germany.


• Postdoctoral Fellow, October, 2016 - March, 2020. Mathematics Institute, Georg-August University Göttingen, Bunsenstraße 3-5, D-37073 Germany.


• Postdoctoral Fellow , February, 2015 - September, 2016, Max-Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany.

Short Term Academic Visits

• A short visit to IISER Thiruvanathapuram, Kerala, India, July 23-29, 2024.


• Research in Pair, with Daniele Dona, and to organize a mini-workshop on Growth and Expansion in Groups, March 24 - April 14, 2024, at MFO Oberwolfach, Germany.


• Research in pair meeting at Oberwolfach, Germany, October 17 - 23, 2021, with Daniele Dona from Hebrew University of Jerusalem, Israel.


• Max-Planck Institute for Mathematics, Bonn, Germany, August, 2021.


• Research in pair meeting at Oberwolfach, Germany, February 28 - March 27, 2021, with Mattia Cavicchi from IRMA Strasbourg, France.


• Max-Planck Institute for Mathematics, Bonn, Germany, August, 2020.


• Max-Planck Institute for Mathematics, Bonn, Germany, August 4 - 9, 2019.


• IHES, Paris, France, October 29 - December 8, 2018.


• Logic and Algorithms in Group Theory, Trimester Program at Hausdorff Institute of Mathematics (HIM), Bonn, Germany, September 10 - 14, and October 1 - 24, 2018.


• Max-Planck Institute for Mathematics, Bonn, Germany, August 19 - 24, 2018.


• Periods in Number Theory, Algebraic Geometry and Physics, Trimester Program at Hausdorff Institute of Mathematics (HIM), Bonn, Germany, March 15 - April 12, 2018.


• Max-Planck Institute for Mathematics, Bonn, Germany, August, 2017.


• Institut Camille Jordan, Université Claude Bernard Lyon 1, France, April 9-14, 2017.


• Research in pair meeting at Oberwolfach, Germany, February 19-24, 2017.


• Mathematical Institute, University of Heidelberg, Germnay, February 1-7, 2017.


• Max-Planck Institute for Mathematics, Bonn, Germany, December 2-7, 2016.


• Department of Mathematics, University of Bern, Switzerland, October 23-28, 2016.


• Department of Mathematics, RWTH-Aachen University, Germany, July 11-17, 2016.

Talks

Colloquium Talks

• Department of Mathematics Colloquium, University of Ulm, Germany, November 24, 2017. Title: Vector-Valued Automorphic Forms.


• Junior Mathematics Colloquium, Georg-August Universität Göttingen, Germany, June 14, 2017. Title: Fuchsian Groups : Cusp vs. Index.


• Colloquium in the Department of Mathematics, University of Bern, Switzerland, October 24, 2016. Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Colloquium in the Department of Mathematics, RWTH-Aachen University, Germany, February 2, 2016. Title: Theory of Hypergeometric Groups.


• Graduate Colloquium Talk, November 14, 2012, University of Alberta, Canada. Title: Vector-Valued Modular Forms.

Seminar Talks

• COGENT Seminar, an online seminar in and around the cohomology of groups, April 24, 2023.


• Korteweg-de Vries Institute for Mathematics, University of Amsterdam, The Netherlands. February 8, 2023.


• Short lectures series (4 talks online), Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA), China. January 12 - February 2, 2023.


• Department of Mathematics, Indian Institute of Technology - Banaras Hindu University, Varanasi, India. November 15, 2022.


• Department of Mathematics, Harish-Chandra Research Institute (HRI), Prayagraj(Allahabad), India. November 11, 2022.


• Department of Mathematics, Indian Institute of Technology Kanpur, India. November 1, 2022.


• Number Theory Seminar, University of Copenhagen, Denmark. May 14, 2021 (online). Title: Theory of Vector-Valued Modular Forms.


• Oberseminar: Algebra-Geometry-Combinatorics, TU Dresden, Germany. February 4, 2021 (online). Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Mathematics Seminar Series, IIIT Delhi, India. September 29, 2020 (online). Title: Theory of Vector-Valued Modular Forms.


• Oberseminar Number Theory and Arithmetic Geometry, Institute for Algebra, Number Theory and Discrete Mathematics, Leibniz University Hannover, Germany. November 21, 2019. Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Oberseminar Number Theory, Georg-August Universität Göttingen, Germany, June 24, 2019. Title: Boundary cohomology of SL₃(ℤ)


• Séminaires Mathématique-Physique, Institut de Mathématiques de Bourgogne, Dijon, France, May 16, 2019. Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Séminaire de Géométrie Arithmétique et Motivique, LAGA, Institut Galilée, Université Paris 13, France, February 8, 2019. Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Séminaire de Géométrie et Topologie, Université Paul Sabatier, Institut de Mathématiques de Toulouse, France, February 5, 2019. Title : Arithmeticity and Thinness of Hypergeometric Groups.


• Seminar on Groups, Geometry and Topology, Department of Mathematics, Karlsruhe Institute of Technology, Germany, January 31, 2019. Title : Arithmeticity and Thinness of Hypergeometric Groups.


• Geometry Seminar / Graduate Lectures, Faculty of Mathematics, Technische Universität Dresden, Germany, December 11, 2018. Title : Arithmeticity and Thinness of Hypergeometric Groups.


• Séminaires Mathématique-Physique, Institut de Mathématiques de Bourgogne, Dijon, France, November 14, 2018. Title: Vector-Valued Automorphic Forms.


• Seminar of Algebraic Geometry and Number Theory, École Polytechnique Fédérale de Lausanne, Switzerland, May 30, 2018. Title: Vector-Valued Automorphic Forms.


• IRMA Institut de Mathematique, Université de Strasbourg, France, February 19, 2018. Title : Arithmeticity and Thinness of Hypergeometric Groups.


• Number Theory Seminar, University of Copenhagen, Denmark, January 3, 2018. Title : Arithmeticity and Thinness of Hypergeometric Groups.


• Oberseminar Number theory, Georg-August Universität Göttingen, Germany, May 22, 2017. Title: Theory of Vector-Valued Modular Forms.


• Séminaire de Combinatoire et Théorie des Nombres, Institut Camille Jordan, Université Claude Bernard Lyon 1, France, April 11, 2017. Title: Vector-Valued Modular Forms.


• Geometry Seminar, Laboratoire de Mathématiques, Université Savoie Mont Blanc, Chambery, France, April 6, 2017. Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Oberseminar in Automorphic Forms, Cologne University, Germany, January 16, 2017. Title: Vector-Valued Modular Forms.


• Oberseminar Number Theory, Georg-August Universität Göttingen, Germany, October 31, 2016. Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Algebra Seminar, RWTH-Aachen University, Germany, July 12, 2016. Title: Arithmeticity and Thinness of Hypergeometric Groups.


• Research Seminar in Algebra, University of Cologne, Germany, July 7, 2016. Title: Theory of Hypergeometric Groups.


• Seminar Aachen-Bonn-Köln-Lille-Siegen on Automorphic Forms at MPIM, Bonn, Germany, March 1, 2016. Title: Vector-Valued Modular Forms.


• Number Theory Seminar, Université de Caen, France, January 22, 2016. Title: Vector-Valued Modular Forms.


• Algebra and Representation Theory Seminar, Université de Caen, France, January 19, 2016. Title: Theory of Hypergeometric Groups.


• Research Seminar in Algebra and Mathematical Physics, University of Hamburg, Germany, January 12, 2016. Title: Vector-Valued Modular Forms.


• Hauptseminar Modulformen, Mathematical Institute, University of Heidelberg, Germany, November 18, 2015. Title: Vector-Valued Modular Forms.


• MPIM Number Theory Lunch Seminar, Bonn, Germany, November 11, 2015. Title: Vector-Valued Modular Forms.


• MPIM Oberseminar, Bonn, Germany, October 29, 2015. Title: Theory of Hypergeometric Groups.


• Algebra and Number Theory Seminar, Technische Universität Darmstadt, Germany, October 13, 2015. Title: Vector-Valued Modular Forms.


• Séminaire de Géométrie Arithmétique et Motivique, LAGA, Institut Galilée, Université Paris 13, France, October 9, 2015. Title: Vector-Valued Modular Forms.

Contributory Talks

• Arbeitsgemeinschaft: Rigidity of Stationary Measure, Oberwolfach, Germany, October 7 - 12, 2018. Title: Examples of stationary measures.


• Summer School on Thermodynamic Formalism and Transfer Operator Method, Göttingen, September 14-18, 2015. Title: Hecke triangle groups and Vector-Valued Modular Forms.


• 10th PIMS Young Researchers Conference in Mathematics and Statistics, May 21 - 24, 2013, University of Alberta, Canada. Title: Bilateral series and Ramanujan's mock theta functions.


• Atkin Memorial Lecture and Workshop on Noncongruence modular forms and Galois representations, May 1, 2011, University of Illinois at Chicago, USA. Title: Weakly Holomorphic Vector-Valued Modular Forms.


• 25th Automorphic Forms Workshop, March 23, 2011, Oregon State University, USA. Title: Weakly holomorphic vector-valued modular forms for genus-zero subgroups of the modular group.


• Seminar on Geometric Group Theory, March 28, 2007, McGill University, Canada. Title: Surface Groups are Omnipotent.

Conferences/Workshops/Schools Participation (Selected)

• 41st Autumn School in Algebraic Geometry : Arithmetic of Differential Equations, September 2-8, 2018, Lukecin, Poland.


• Hausdorff Summer School: L-functions, Open Problems and Current Methods, June 25-29, 2018, Hausdorff Center for Mathematics, University of Bonn, Germany.


• Automorphic Forms and Arithmetic, September 3 - 9, 2017, Oberwolfach, Germany.


• Hot Topics Workshop on Galois theory of periods, March 27 - 31, 2017, MSRI Berkeley, USA.


• Ergodic Theory and its Connections with Arithmetic and Combinatorics, December 12 - 16, 2016, CIRM Luminy, France.


• Applications of Ergodic Theory in Number Theory, October 17 - 21, 2016, CIRM Luminy, France.


• Analogies between Number Fields and Function Fields , June 26 - July 2, 2016, Université Claude Bernard Lyon, France.


• Thin Groups and SuperApproximation Workshop, March 28 - April 1, 2016, Institute for Advanced Study, Princeton, NJ, USA.


• Hausdorff School : Arithmetic Groups, their Cohomology and Arithmetic Applications, January 25 - 29, 2016, Hausdorff Center for Mathematics, Bonn, Germany.


• Eigenfunction estimates and related topics, July 7 - 10, 2015, Marburg, Germany.


• New Perspectives on the Interplay between Discrete Groups in Low-Dimensional Topology and Arithmetic Lattices, June 21 - 27, 2015, Oberwolfach, Germany.


• Workshop on "Mock Modular Forms, Moonshine, and String Theory", August 26 - 30, 2013, Simons Center for Geometry and Physics, Stony Brook, USA.


• Summer Graduate Workshop : New Geometric Techniques in Number Theory, July 1 - 12, 2013, MSRI Berkeley, USA.


• Arizona Winter School 2013 : Modular Forms and Modular Curves, March 9 - 13, 2013, University of Arizona, USA.


• 1st EU/US conference on automorphic forms and related topics, July 30 - August 10, 2012, Aachen, Germany.


• Hot Topics Workshop on Thin Groups and Super-strong Approximation, February 6 - 10, 2012, MSRI Berkeley, USA.


• The Birch and Swinnerton-Dyer Conjecture Summer School for graduate students and young researchers, June 26 - July 3, 2011, Sardinia, Italy.


• PIMS Algebra Summer School 2007, July 30 - August 8, University of Alberta, Canada.


• Conference on Geometric Group Theory, July 3 - 14, 2006, Centre de Recherché Mathématiques, Montreal, Canada.

Teaching Experience

Course Instructor

• Summer 2024 : A Graduate Course on Modular Forms, Mathematics Department, University of Kiel, Germany.


• Spring-Summer 2023 : Math 201 (Ordinary Differential Equations), University of Alberta, Canada.


• Spring 2011, Spring 2012, Winter 2013 and Spring 2014 : Math 125 (Linear Algebra-I), University of Alberta, Canada.


• Fall 2007 : Math 150 (Advanced Calculus), McGill University, Canada.


• Fall 2007 : Calculus-I (Differential Calculus), CEGEP Vanier College, Montreal, Canada.


• Summer 2007 : Calculus-I (Differential Calculus), CEGEP Dawson College, Montreal, Canada.


• August 2001-April 2002 : As a guest lecturer in the Department of Mathematics, V.S.S.D. College, Kanpur, India, taught following courses:


• Abstract Algebra to final year master's degree students. The areas covered in this course include Group theory, Ring theory, Field theory and Galois theory.


• A short course in Advanced Calculus to second year undergraduate students.


• A course in Real Analysis to third year undergraduate students.

Teaching Assistant

• Fall 2008, Fall 2009, Winter 2010, Fall 2010, Winter 2011, Fall 2011 and Winter 2012 : Teaching Assistant in various sections for the courses Math 101 (Calculus-II), Math 102 (Linear Algebra-1), Math 113 (Calculus-I) and Math 209 (Advanced Calculus) in the University of Alberta, Canada.


• Winter 2007, Fall 2006, Winter 2006, Fall 2005, July 2005, and May 2005 : Teaching Assistant for Math 141 (Calculus-II) in McGill University, Canada.

Fellowships and Awards

• Azrieli International Postdoctoral Fellowship to pursue postdoctoral studies at Technion, Haifa, Israel.


• Josephine M. Mitchell Graduate Scholarship 2011 and 2014, Department of Mathematical and Statistical Sciences, University of Alberta, Canada.


• Provost Doctoral Fellowship, University of Alberta, Canada, January 2008 - December 2009.


• Best Teaching Assistant Award in Mathematics, McGill University, Canada, 2006.


• Junior Research Fellowship, Harish-Chandra research Institute (HRI), Allahabad, India, August 2002 - June 2004.


• Lectureship, V.S.S.D. College, Kanpur, India, August 2001 - March 2002.