Tim Dokchitser

Tim Dokchitser
Name	Tim Dokchitser
Birth date	1978
Birth place	Kyiv, Ukrainian SSR
Occupation	Mathematician, Researcher, Professor
Alma mater	Taras Shevchenko National University of Kyiv, University of Cambridge
Known for	Number theory, Galois module structure, Arithmetic geometry

Tim Dokchitser

Tim Dokchitser is a Ukrainian-born mathematician known for work in algebraic number theory, arithmetic geometry, and the theory of L-functions. His research spans explicit approaches to Galois modules, regulator constants, and the arithmetic of elliptic curves, contributing to conjectures and computational techniques used across contemporary number theory. He has held academic positions in the United Kingdom and collaborated with mathematicians associated with major institutions and projects.

Early life and education

Dokchitser was born in Kyiv and raised during the late Soviet and post-Soviet period in Ukraine, where he studied mathematics at Taras Shevchenko National University of Kyiv before pursuing graduate work in the United Kingdom. He completed doctoral studies at the University of Cambridge, working under advisors connected to research groups centered at the Isaac Newton Institute, the London Mathematical Society, and the Royal Society. During his formative years he became associated with seminars and collaborations that included researchers from the University of Oxford, the University of Manchester, and the Max Planck Institute for Mathematics.

Academic career

Dokchitser's early academic appointments included positions at research-focused departments and institutes in the UK and Europe, with visiting terms at the University of Warwick and the University of Bristol. He later became faculty at a university where he taught courses overlapping with topics studied at the Mathematical Institute, University of Oxford and engaged with doctoral programs linked to the European Mathematical Society and the Simons Foundation. His career features collaborations with scholars from the University of Cambridge, the University of Edinburgh, the University of Bonn, and the Institute for Advanced Study. He has been active in organizing conferences affiliated with the London Mathematical Society and workshop series held at the Hausdorff Center for Mathematics.

Research contributions

Dokchitser's research contributions concentrate on explicit arithmetic aspects of algebraic objects and their associated L-functions, often intersecting topics studied by researchers at the Clay Mathematics Institute, the American Mathematical Society, and the International Mathematical Union. He has produced results on the behavior of local and global root numbers, parity conjectures, and regulator constants that have informed work on conjectures related to the Birch and Swinnerton-Dyer conjecture and the Tate conjecture. His joint work with collaborators developed techniques for computing Galois module structures, influencing computational projects tied to the L-functions and Modular Forms Database and national research infrastructure such as the EPSRC-funded initiatives.

Notable themes in his work include explicit formulas for epsilon factors in families of representations, analyses of the variation of Selmer ranks under field extensions, and intricate use of cohomological methods familiar to researchers at the Max Planck Institute for Mathematics and the Scuola Normale Superiore di Pisa. He has applied methods from algebraic number theory to concrete problems about elliptic curves and abelian varieties studied in contexts like the European Research Council-funded programs and collaborations with groups at the University of Amsterdam and the Vrije Universiteit Brussel.

Dokchitser's computational contributions include algorithms and data that have been used alongside software projects originating from the SageMath community and interact with datasets maintained by the LMFDB project. His research papers often combine theoretical advances with explicit examples that connect to broader research threads pursued at conferences organized by the Institute of Mathematics and its Applications and workshops at the Newton Institute.

Awards and honors

Dokchitser's work has been recognized by fellowships and invitations to speak at distinguished venues such as the International Congress of Mathematicians satellite meetings and seminars at the Institute for Advanced Study. He has received research support from agencies associated with the Royal Society, the European Research Council, and national science councils. His invited lectures and contributed talks have appeared at meetings organized by the London Mathematical Society, the European Mathematical Society, and the American Mathematical Society.

Selected publications

- Dokchitser, T.; Dokchitser, V., papers on parity of ranks and local root numbers appearing in journals connected to the London Mathematical Society and the American Mathematical Society, with explicit computations relevant to the Birch and Swinnerton-Dyer conjecture and the Tate conjecture. - Collaborative articles on regulator constants, epsilon factors, and Galois module structures, published alongside researchers affiliated with the University of Cambridge, the Max Planck Institute for Mathematics, and the Hausdorff Center for Mathematics. - Research contributions that provided computational data for the L-functions and Modular Forms Database (LMFDB) and influenced implementations in the SageMath ecosystem.

Category:Ukrainian mathematicians Category:Number theorists