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Dr. Dmitri Zaitsev

Associate Professor (Pure & Applied Mathematics)

Dmitri Zaitsev is an Associate Professor in the School of Mathematics, which he joined in 2003. He grew up in Kiev, Ukraine, where he won several Mathematics Olympiads, including All-Soviet-Union mathematical competitions. He studied Mathematics at Lomonosov Moscow State University and completed his Diploma in 1993 and his PhD, within 1 year from Diploma, in 1994 at Ruhr-University, Bochum, Germany.

Prior to joining Trinity College Dublin, he held researcher and visiting professor positions in Germany, France, Italy and the USA.

Dr Zaitsev's research comprises contributions to Geometry and Analysis of Several Complex Variables as well as connected areas of Mathematics, such as Lie Groups, Differential Geometry, Real and Complex Algebraic Geometry, Partial Differential Equations and Dynamical Systems.

He has over 20 international collaborators from over 10 countries and has authored over 60 peer-reviewed research articles. One of the conferences he co-founded and co-organised in Italy for many years, "CR Geometry and PDEs", became one of the major international conferences in the field.

In 2014, Dr Zaitsev founded a Trinity Campus Company, Personalotels Ltd, employing mathematical algorithms to help travellers finding hotels matching their personal preferences and avoiding the information overload problem.

Between 2013 and 2019, Dr Zaitsev served as School of Mathematics' Erasmus and Exchange Coordinator, during which period he expanded School's Erasmus agreements from 2 to 8, including 2 new countries, as well as negotiated one University-wide Memorandum of Understanding agreement - the first of this kind initiated by our School.

In 2018, Dr Zaitsev, being concerned with the numbers of academic journals using paywalls, co-founded Global Public Forum for scholarly publishing reform towards Fair Open Access and lead the campaign to collect signatures of support from many distinguished scientists.

In the same year, Dr Zaitsev co-founded Free Journal Network - an ecosystem of community-run high quality academic journals that are free for readers and authors.

Since 2019, Dr Zaitsev has been serving on TCD Open Scholarship Taskforce .

In April 2020 at the beginning of COVID-19 Pandemic, Dr Zaitsev entered as academic mentor multiple hackathons to fight against the virus, including the EUvsVirus hackathon hosted by European Commission, and currently advising over 10 projects among the winners, some of them being listed here.

To further help fighting coronavirus, Dr Zaitsev joined several global communities including the global CoronaWhy community and Just One Giant Lab" with Campaign for Open & Trustworthy Science.
  Complex Analysis and Geometry   CR Geometry   Differential geometry   Several Complex Variables
 Geometry of Real Submanifolds in Complex Spaces
 Geometry of Real Submanifolds in Complex Spaces

Language Skill Reading Skill Writing Skill Speaking
English Fluent Fluent Fluent
French Medium Basic Medium
German Fluent Fluent Fluent
Italian Medium Medium Fluent
Russian Fluent Fluent Fluent
Details Date From Date To
Irish Mathematical Society 2003 present
American Mathematical Society 22/12/2017 present
Kim, S.-Y., Zaitsev, D., Triangular resolutions and effectiveness for holomorphic subelliptic multipliers, Advances in Mathematics, 387, 2021, p107803 , Journal Article, PUBLISHED  URL
N. Mir and D. Zaitsev, Unique jet determination and extension of germs of CR maps into spheres, Transactions of the American Mathematical Society, 374, 2021, p2149 - 2166, Journal Article, PUBLISHED  DOI
Zaitsev, D., A geometric approach to Catlin's boundary systems, Annales de l'Institut Fourier, 69, (6), 2020, p2635-2679 , Journal Article, PUBLISHED
Hyland, Jack, Kouker, Alexander, Zaitsev, Dmitri, Open Access eXchange (OAeX): an economic model and platform for fundraising open scholarship services, Insights the UKSG journal, 33, 2020, Journal Article, PUBLISHED  DOI
Kossovskiy, I., Zaitsev, D. , Convergent normal form for real hypersurfaces at a generic Levi-degeneracy , Journal fur die Reine und Angewandte Mathematik , 749, 2019, p201-225 , Journal Article, PUBLISHED  DOI
Ebenfelt, P., Zaitsev, D., A new invariant equation for umbilical points on real hypersurfaces in C2 and applications, Communications in Analysis and Geometry, 27, (7), 2019, p1549-1582 , Journal Article, PUBLISHED
Normal forms in Cauchy-Riemann geometry in, Contemporary Mathematics, 2018, pp153-177 , [ Kolar, M., Kossovskiy, I., Zaitsev, D. ], Book Chapter, PUBLISHED  DOI
Ebenfelt, Peter; Lamel, Bernhard; Zaitsev, Dmitri, Normal form for infinite type hypersurfaces in ℂ2 with nonvanishing Levi form derivative, Documenta Mathematica, 22, 2018, p165 - 190, Journal Article, PUBLISHED  TARA - Full Text  URL
Peter Ebenfelt, Duong Ngoc Son, Dmitri Zaitsev, A family of compact strictly pseudoconvex hypersurfaces in C, 2 without umbilical points, Mathematical Research Letters, 25, (1), 2018, p75-84 , Journal Article, PUBLISHED  TARA - Full Text
Kossovskiy, I., Zaitsev, D., Normal Form for Second Order Differential Equations , Journal of Dynamical and Control Systems, 24, (4), 2018, 541-562 , Journal Article, PUBLISHED  DOI

Page 1 of 7
Zaitsev, Dmitri, The 5th William Rowan Hamilton Geometry and Topology Workshop, 17-19 Sept, 2009, Trinity College Dublin, Ireland, Notes: [ ], Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri, CR Geometry and PDE's, 22-27 Sept, 2008, Trento, Italy, Notes: [CIRM], Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri, The 4th William Rowan Hamilton Geometry and Topology Workshop, 28-30 Aug, 2008, Trinity College Dublin, Ireland, Notes: [ ], Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri, The 3rd William Rowan Hamilton Geometry and Topology Workshop, 6-8 Sept, In:Trinity College Dublin, Ireland, 2007, Notes: [ ], Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri , 4th Irish Geometry Conference, 19-20 May, 2006, Trinity College Dublin, Ireland, Notes: [ ], Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri , CR Geometry and PDE's, 2-8 Sept, 2006, Trento, Italy, Notes: [CIRM], Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri , The 2nd William Rowan Hamilton Geometry and Topology Workshop, 28 -30 Sept, 2006, Trinity College Dublin, Ireland, Notes: [ ], Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri , CR Geometry and Partial Di erential Equations, 12-17 Sept, 2004, Trento, Italy, Meetings /Conferences Organised, PUBLISHED
Zaitsev, Dmitri , Real Methods in Complex and CR Geometry, 30 June - 6 July , 2002, (Taranto), Italy, Notes: [CIME, Martina Franca], Meetings /Conferences Organised, PUBLISHED


Award Date
Elected Fellow of Trinity College Dublin 2014
Research Frontiers Grant by Science Foundation Ireland - Principal Investigator 2006
Research Frontiers Grant by Science Foundation Ireland - Principal Investigator 2010
Complex Analysis and Geometry, Several Complex Variables, Dynamical Systems, CR Geometry, Normal forms, Rigidity, Bounded Symmetric Domains, Instantons.

Building bridges between Analysis and Geometry with Partial Differential Equations via multiplier ideal sheaves, inspired and building on the work by J.J. Kohn, J.P. D'Angelo, Y.-T.Siu and others.

Algebraic and Analytic theory of Singularities (where objects cease to be regular) arising in Geometry and Partial Differential Equations. Developing connections between singularities and Graph via associating new invariant graph-like structures to singularities. Applying Complexity Theory to measure and control the numbers of steps in algorithms for resolution of singularities.

Geometric Analysis by means of Cartan's method of moving frames and umbiliticy (vanishing of curvature). Replacing complicated curvature formalism by a new direct determinant formula. Answered long-standing question from the work of S.-S. Chern and J. K. Moser in 1974 about the existence of umibilical points.

Deriving a simple formula for instantons with one periodic direction for ADHM-Nahm transform in Theoretical Physics.

Discovering rigidity phenomena for proper holomorphic and CR maps in for bounded symmetric domains and their boundary components.

Dynamics or local holomorphic maps in several variables, building hierarchy of (multi-)resonant maps and dynamics reduction to lower dimension, with applications to normal forms and existence and description of bassins of attraction.