Personal record:

Education and degrees:

2009:

Doctor of Science degree, Moscow State University.
Title: ``Topology and combinatorics of torus actions'', defended 25 December 2009.
(Doctor of science thesis is a profound scientific research work required for attaining highest academic positions or professorships in the former USSR.)

1996-1999:

Candidate of Science degree (equivalent to PhD), Moscow State University.
Advisor: Prof. Victor M. Buchstaber.
Title: ``Topological invariants of manifolds with Tⁿ- or Z/p-action", defended 11 June 1999.

1991-1996:

Diploma of Higher Education (equivalent to MSc), Moscow State University.
Diploma cum laude, 1996.
Master thesis: ``Hopf 2-algebra structures in cohomology of manifolds, and duality properties".

Employment history:

September 2001--present time:

Docent (equivalent to associate professor), Faculty of Mathematics and Mechanics, Moscow State University.

September 2000--present time:

Research fellow, Institute for Theoretical and Experimental Physics, Moscow.

April 2008--present time:

Leading research fellow, Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow.

September 2005--July 2006:

JSPS postdoctoral research fellow, Department of Mathematics, Osaka City University, Japan (host: Prof. Mikiya Masuda).

February 2001--February 2002:

Royal Society/NATO postdoctoral fellow, Department of Mathematics, University of Manchester, U.K (host: Prof. Nigel Ray).

September 1999--September 2001:

Assistant professor, Faculty of Mathematics and Mechanics, MSU.

1997--1999:

Junior research fellow, Faculty of Mathematics and Mechanics, MSU.

Research interests:

Honours and grants awarded:

2009:

Moscow State University Prize for young scientists.

2007--2009:

Pierre Deligne stipend (awarded as the winner of the 2006 Pierre Deligne contest; funded by P.Deligne's 2004 Balzan prize in Mathematics.)

2005--2006:

JSPS postdoctoral research fellowship, Department of Mathematics, Osaka City University (host: Prof. Mikiya Masuda).

2005:

London Mathematical Society grant for young Russian mathematicians, University of Manchester.

2004:

Prize of the International Academic Publishing Company 'Nauka/Interperiodica' for the best publications in its journals.

2004:

Moscow Mathematical Society Prize for young mathematicians for the series of works ``Invariants of manifolds with group actions".

2001, 2002, 2003:

State Prize for young researchers, Russian Ministry of Nuclear Energy, Institute for Theoretical and Experimental Physics, Moscow.

2001--2002:

Royal Society/NATO postdoctoral research fellowship, Department of Mathematics, University of Manchester (host: Prof. Nigel Ray).

1998--1999:

Participated in the INTAS long-term research grant INTAS 96-0770.

1996--present time:

Ongoing participation in several research projects funded by the Russian Foundation for Basic Research (RFFI) and the Russian Leading Scientific School Support Programme (grants 96-01-00054, 96-15-96027, 96-01-01404, 99-01-00090, 00-15-96011, 01-01-00546, 02-01-00659, 04-01-00702, 05-01-01032, 08-01-00541, 09-01-00142, 09-01-00239, 08-01-91855-KO, 2185.2003.1, 4182.2006.1, 1824.2008.1).

1994--1995:

Participated in the long-term research grants M3Z000, M3Z300 of the International Soros Foundation.

Research visits:

November 2009, January 2008:

Fudan University, Shanghai, China.

November 2008, July 2008, February 2007:

University of Manchester, U.K.

August 2008:

Sobolev Institute of Mathematics, Novosibirsk, Russia.

July--August 2007, November--December 2004, November--December 2002:

Osaka City University, Japan; 21st Century COE Programme.

February 2006:

Korea Advanced Institute of Science and Technology, Daejeon, Republic of Korea.

July 2005:

Australian National University, Canberra, Australia.

January 2005:

University of Manchester, U.K., London Mathematical Society grant for young Russian mathematicians.

July 2004:

UMIST, U.K., Royal Society Visiting Fellowship.

August 2003--February 2004:

University of Manchester, U.K., EPSRC Visiting Fellowship.

January--February 2003:

Universitat Autonoma de Barcelona, Spain.

September 2002:

Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K.

Conference presentations:

9--15 August 1998:

International conference ``Geometry and Topology'98", Aarhus, Denmark (satellite of the ICM'98, Berlin); a paper is published in the Proceedings volume (AMS Contemporary Mathematics series).

30 August--6 September 1998:

International conference dedicated to the 90th Anniversary of L.S.Pontrjagin, Moscow, Russia (satellite of the ICM'98, Berlin); 35-min. talk ``Torus actions and the Eilenberg-Moore spectral sequences" and a paper published in the Proceedings volume.

3--8 September 1998:

International conference ``Algebraic topology meeting'1998", Angers, France (satellite of the ICM'98, Berlin); poster.

19--25 August 1999:

International conference ``Topology and Dynamics: Rokhlin Memorial", Vladimir A. Rokhlin's 80th Anniversary, St. Petersburg, Russia; 25-min talk ``Algebraic topology of torus actions on manifolds defined by simple polytopes".

9--15 October 1999:

International conference ``Modern topological methods and their applications", Tbilisi, Georgia; 45-min invited talk ``On Hirzebruch genera of manifolds with torus actions".

27 February--4 March 2000:

International meeting ``Lattices, Polytopes and Tilings", Oberwolfach, Germany; 1-hour talk ``Torus actions, simple polytopes and coordinate subspace arrangements".

4--7 July 2000:

International conference ``1-st Euro-Mediterranean Topology Meeting", Barcelona, Spain; poster "Torus actions, simple polytopes and coordinate subspace arrangements".

10--14 July 2000:

3rd European Congress of Mathematicians, Barcelona, Spain; poster ``Torus actions, simple polytopes and coordinate subspace arrangements".

7--9 April 2001:

16th British Topology Meeting, Edinburgh, U.K.; 40-min talk ``Combinatorial aspects of torus actions".

4--8 June 2001:

International conference on Algebraic Topology, Gdansk, Poland; 45-min talk ``Cobordism invariants of manifolds with torus actions".

24--30 June 2001:

International Conference on Algebraic Topology, Isle of Skye, Scotland, U.K.; 30-min talk ``Combinatorial aspects of torus actions".

11 July 2001:

30th Transpennine Topology Triangle Meeting, Sheffield, U.K.; 1 hour invited talk ``Combinatorics, topology and homotopy theory of toric spaces".

3--7 September 2001:

Algebraic Topology Conference, Nantes, France; 40-min plenary talk ``Combinatorics, topology and homotopy theory of toric spaces".

27--31 May 2002:

Modern Homotopy Theory conference, Lille, France; 40-min talk ``Homotopy and homology of certain loop spaces".

1--6 July 2002:

Algebraic Topology conference, Barcelona, Spain; poster.

26--28 November 2002:

Workshop on Transformation Groups, Tokyo, Japan; 1 hour invited talk ``Topology and combinatorics of torus actions".

8--10 September 2003:

18th British Topology Meeting, Manchester, U.K.; 1 hour invited talk ``The cohomology of torus manifolds".

18--24 April 2004:

International meeting ``Cohomological Aspects of Hamiltonian Group Actions and Toric Varieties", Oberwolfach, Germany; 1 hour invited talk ``Rational aspects of toric topology".

3--6 July 2004:

``Geometry, Topology, and Combinatorics" a satellite conference of the 4th European Congress of Mathematics, Stockholm, Sweden; 30 min invited talk.

13--18 September 2004:

``Algebraic models of topological spaces and fibrations", international conference dedicated to the 90th anniversary of George Chogoshvili, Tbilisi, Georgia; 45 min invited talk ``Toric topology".

26 September--3 October 2004:

The XI Congress of Mathematicians of Serbia and Montenegro, Petrovac na Moru, Crna Gora, 30 min invited talk.

17--19 November 2004

Symposium on Transformation Groups, Tokyo, Japan; 50 min invited talk.

14--19 February 2005

International conference "Topology, analysis and applications to mathematical physics" dedicated to the memory of Yu. P. Solovyov, Moscow, Russia; 30 min talk.

3--9 April 2005

International conference on Selected Problems of Modern Mathematics Dedicated to the 200th anniversary of K.G.Jacobi, Kaliningrad, Russia; 15 min talk.

26 June--2 July 2005

International Conference Contemporary Geometry and Related Topics, Belgrade, Serbia and Montenegro; 30 min talk ``Spaces of polytopes and cobordisms of toric manifolds".

11--21 July 2005

Categories in Algebra, Geometry and Mathematical Physics, Conference in honour of Ross Street's sixtieth birthday, Sydney and Canberra, Australia; 40 min invited talk ``Model categories and homotopy colimits in toric topology".

24--26 November 2005

Symposium on Transformation Groups, Osaka, Japan; 50 min invited talk ``Spaces of polytopes, and cobordisms of toric manifolds".

28--30 November 2005

Workshop on K-Theory and Its Applications, Okayama, Japan; 1 hour invited talk ``K-theory and cobordisms of toric manifolds".

22--26 May 2006

RIMS Conference "Methods of Transformation Group Theory", Kyoto, Japan; 1 hour invited talk ``Topology of Kempf-Ness sets for algebraic torus actions''.

17--27 July 2007

Osaka City University Summer School on Symplectic Geometry and Toric Topology; series of lectures ``Toric topology and complex cobordism''.

17--23 September 2007

Russian Conference ``Mathematics in the Modern World'' dedicated to the 50th Anniversary of the Sobolev Institute of Mathematics, Novosibirsk, Russia; 20 min talk ``Torus actions and complex cobordisms''.

17--22 December 2007

International Conference ``Transformation Groups'' dedicated to the 70th Anniversary of the of Ernest B. Vinberg, Moscow, Russia; 30 min talk ``Algebraic torus actions, Kempf-Ness sets and real quadrics in C^m''.

3 June 2008

Conference ``Novikov Day'' dedicated to the 70th Anniversary of the of Sergei P. Novikov, Steklov Institute, Moscow, Russia; 30 min talk ``Torus actions and complex cobordism''.

7--11 July 2008

International Conference ``New Horizons in Toric Topology'', Manchester, U.K.; 1 hour plenary talk ``Moment-angle manifolds: recent developments and perspectives''.

4--10 January 2009

International meeting ``Toric Geometry", Oberwolfach, Germany; 50 min invited talk ``Toric Kempf-Ness sets".

12--13 January 2009

Conference ``Young Mathematics of Russia'', Moscow, Russia; 30 min invited talk ``Moment-angle manifolds in toric topology''.

25--30 June 2009

XXXIV Far Eastern Mathematical School and Seminar ``Fundamental problems of Mathematics and Information sciences'', Khabarovsk, Russia; 30-min invited talk.

6--11 July 2009

International Conference on Algebraic Topology CAT'09, Warszawa, Poland; plenary talk.

15--20 July 2009

Dobrushin International Conference, IITP, Moscow, Russia; plenary talk ``Toric topology''.

7--11 September 2009

Bratislava Topology Symposium "Group Actions and Homogeneous Spaces", Bratislava, Slovakia; plenary talk ``Torus actions and complex cobordism''.

10--12 December 2009

Conference on Transformation Groups, Osaka, Japan; 1 hour invited talk ``The universal toric genus''.

15--18 December 2009

Conference ``Information Technologies and Systems'', Institute for Information Transmission Problems, Russian Academy of Science; 1 hour invited talk ``Toric topology''

Member of organising committees:

• ``Solitons, geometry and topology: on the crossroads" in honour of Sergey Novikov (Moscow, May 1998)
• ``Geometric topology, discrete geometry and set theory'', L.V.Keldysh Centenary conference (Moscow, August 2004).
• International conference on toric topology (Osaka, May-June 2006).
• International Conference ``Differential Equations and Topology'' dedicated to the Centennial Anniversary of L.S.Pontryagin (Moscow, June 2008).

Talks at geometry, topology and combinatorics seminars:

Refereing:

Monographs:

1. Victor M. Buchstaber and Taras E. Panov. Torus Actions and Their Applications in Topology and Combinatorics. University Lectures Series, vol.24, American Mathematical Society, Providence, RI, 2002, 152 pages.
2. Victor M. Buchstaber and Taras E. Panov. Torus Actions in Topology and Combinatorics (in Russian). MCCME, Moscow, 2004, 272 pages.

Papers in refereed journals and proceedings:

1. T.E.Panov. On the structure of a Hopf cohomology 2-algebra of four-dimensional manifolds (in Russian), Uspekhi Mat. Nauk 51 (1996), no.1 (307), 161-162; English translation in: Russian Math. Surveys 51 (1996), no. 1, 155-157. Download: ps (Russian).
2. T.E.Panov. Elliptic genus for manifolds with an action of the group Z/p (in Russian), Uspekhi Mat. Nauk 52 (1997), no.2 (314), 181-182; English translation in: Russian Math. Surveys 52 (1997), no.2, 418-419. Download: ps (Russian).
3. T.E.Panov. Classification up to cobordism of manifolds that carry a simple action of the group Z/p (in Russian), Mat. Zametki 63 (1998), no. 2, 260-268; English translation in: Math. Notes 63 (1998), no. 1-2, 225-232; arXiv:math.AT/9908166. Download: ps (Russian); pdf (English).
4. T.E.Panov. Calculation of Hirzebruch genera for manifolds acted on by the group Z/p via invariants of the action (in Russian), Izv. Ross. Akad. Nauk Ser. Mat. 62 (1998), no.3, 87-120; English translation in: Izvestiya: Mathematics 62 (1998), no.3, 515-548; arXiv:math.AT/9909081. Download: ps (Russian); pdf (English).
5. V.M.Bukhshtaber and T.E.Panov. Algebraic topology of manifolds defined by simple polytopes (in Russian), Uspekhi Mat. Nauk 53 (1998), no.3, 195-196; English translation in: Russian Math. Surveys 53 (1998), no.3, 623-625. Download: ps (Russian).
6. V.M.Buchstaber and T.E.Panov. Torus actions and combinatorics of polytopes (in Russian), Trudy Matematicheskogo Instituta imeni V.A.Steklova, vol. 225, 1999, pp.96-131; English translation in: Proceedings of the Steklov Institute of Mathematics, vol. 225, 1999, pp.87-120; arXiv:math.AT/9909166. Download: pdf (Russian); pdf (English).
7. T.E.Panov. Combinatorial formulae for the x_y-genus of a polyoriented quasitoric manifold (in Russian), Uspekhi Mat. Nauk 54 (1999), no.5, 169-170; English translation in: Russian Math. Surveys 54 (1999), no.5, 1037-1039. Download: ps (Russian); pdf (English).
8. V.M.Buchstaber and T.E.Panov. Torus actions, equivariant moment-angle complexes and coordinate subspace arrangements (in Russian), in: Representation theory, dynamical systems, combinatorical and algorithmic methods, Part 5, A.M.Vershik, editor, Zap. Nauchn. Semin. POMI 266, 2000, pp. 29-50; English translation in: Journal of Math. Sciences 113 (2003), no. 4, 558-568; arXiv:math.AT/9912199. Download: pdf (Russian); pdf (English)
9. V.M.Buchstaber and T.E.Panov. Torus actions determined by simple polytopes, in: ``Geometry and Topology: Aarhus" (K.Grove, I.H.Madsen, and E.K.Pedersen, eds.), Contemporary Mathematics, vol.258, American Mathematical Society, Providence, RI, 2000, pp. 33-46. Download: pdf.
10. V.M.Buchstaber and T.E.Panov. Moment-angle complexes and combinatorics of simplicial manifolds (in Russian), Uspekhi Mat. Nauk 55 (2000), no.3, 171-172; English translation in: Russian Math. Surveys 55 (2000), no.3, 576-579. Download: ps (Russian); pdf (English).
11. V.M.Buchstaber and T.E.Panov. Torus actions, combinatorial topology and homology algebra (in Russian), Uspekhi Mat. Nauk 55 (2000), no.5, 3-106; English translation in: Russian Math. Surveys 55 (2000), no.5, 825-921; arXiv:math.AT/0010073. Download: ps (Russian); pdf (English).
12. T.E.Panov. On the cobordism classification of manifolds with Z/p-action whose fixed point set has trivial normal bundle (in Russian) Proceedings of the International conference dedicated to the 90-th Anniversary of L.S.Pontryagin (Moscow, 31 August - 6 September 1998). Vol.7: ``Geometry and topology", S.M.Aseev and S.A.Vakhrameev, eds. VINITI, Moscow, 2000, pp.114-128; English translation in: Pontryagin Conference, 8, Topology (Moscow, 1998); Journal of Math. Sciences 105 (2001), no.2, 1876-1883. Download: pdf (English).
13. T.E.Panov. Hirzebruch genera of manifolds with torus actions (in Russian), Izv. Ross. Akad. Nauk Ser. Mat. 65 (2001), no. 3, 123-138; English translation in: Izvestiya: Mathematics 65 (2001), no.3, 543-556; arXiv:math.AT/9910083. Download: ps (Russian); pdf (English).
14. Taras Panov, Nigel Ray and Rainer Vogt. Colimits, Stanley-Reiner algebras, and loop spaces, in: "Categorical Decomposition Techniques in Algebraic Topology" (G.Arone et al eds.), Progress in Mathematics, vol.215, Birkhauser, Basel, 2004, pp.261-291; arXiv:math.AT/0202081. Download: pdf.
15. I.V.Baskakov, V.M.Buchstaber and T.E.Panov. Cellular cochain algebras and torus actions (in Russian), Uspekhi Mat. Nauk 59 (2004), no.3, 159-160; English translation in: Russian Math. Surveys 59 (2004), no.3, 562-563; arXiv:math.AT/0407189. Download: pdf (Russian); pdf (English).
16. V.M.Buchstaber and T.E.Panov. Combinatorics of simplicial cell complexes, and torus actions (in Russian), Trudy Matematicheskogo Instituta imeni V.A.Steklova, vol. 247, 2004, pp.41-58; English translation in: Proceedings of the Steklov Institute of Mathematics, vol. 247, 2004, pp.33-49; Download: pdf (Russian), pdf (English).
17. Mikiya Masuda and Taras Panov. On the cohomology of torus manifolds, Osaka J. Math. 43 (2006), 711-746; arXiv:math.AT/0306100.
18. Hiroshi Maeda, Mikiya Masuda and Taras Panov. Torus graphs and simplicial posets. Advances in Math. 212 (2007), no.2, 458-483; arXiv:math.AT/0511582.
19. Taras E. Panov. Topology of Kempf--Ness sets for algebraic torus actions, in ``Proceedings of the Conference `Contemporary Geometry and Related Topics' (Belgrade, 2005)'', N.Bokan et al, editors, University of Belgrade, 2007.
20. Victor Buchstaber, Taras Panov and Nigel Ray. Spaces of polytopes and cobordism of quasitoric manifolds. Moscow Math. J. 7 (2007), no.2, 219-242; arXiv:math.AT/0609346.
21. Taras Panov. Cohomology of face rings, and torus actions. London Math. Soc. Lecture Notes, vol.347, Surveys in Contemporary Mathematics, Cambridge, 2008, pp.165-201; arXiv:math.AT/0506526.
22. Mikiya Masuda and Taras Panov. Semifree circle actions, Bott towers, and quasitoric manifolds (in Russian). Mat. Sbornik 199 (2008), no.8, 95--122. English translation in Sbornik Math. 199 (2008), no.7--8, 1201--1223; arXiv:math.AT/0607094.
23. Taras Panov and Nigel Ray. Categorical aspects of toric topology. In ``Toric Topology'' (M.Harada et al, eds.). Contemp. Math., vol.460, American Mathematical Society, Providence, RI, 2008, pp.293--322; arXiv:0707.0300.
24. T.E.Panov. Toric Kempf-Ness sets (in Russian). Trudy Matematicheskogo Instituta imeni V.A.Steklova, vol.263, 2008, pp.159-172; English translation in: Proceedings of the Steklov Institute of Mathematics, vol.263, 2008, pp.150-162; Download: pdf (Russian); arXiv:math.AG/0603556.
25. Suyoung Choi, Taras Panov and Dong Youp Suh. Toric cohomological rigidity of simple convex polytopes. Submitted preprint (2008); arXiv:0807.4800.
26. Victor M. Buchstaber, Taras E. Panov and Nigel Ray. Toric genera. Submitted preprint (2009); arXiv:0908.3298.
27. Zhi Lu and Taras Panov. Moment-angle complexes from simplicial posets. Submitted preprint (2009); arXiv:0912.2219.

Conference proceedings edited volumes:

1. Megumi Harada, Yael Karshon, Mikiya Masuda and Taras Panov, editors. ``Toric Topology''. International Conference, May 28-June 3, 2006, Osaka City University, Osaka, Japan. Contemp. Math., vol.460, American Mathematical Society, Providence, RI, 2008, 401 pages.

Candidate of science thesis (Ph.D. equivalent in the former Soviet Union)

1. ``Topological invariants of manifolds with Z/p- or Tⁿ-actions''. Defended in Moscow State University on 11 June 1999. Summary (17 pages, in Russian). Full text (88 pages, in Russian).

Doctor of science thesis (profound scientific research work required for attaining highest academic positions or professorships in the former Soviet Union)

1. ``Topology and combinatorics of torus actions''. Defended in Moscow State University on 25 December 2009. Summary (19 pages, in Russian). Full text (298 pages, in Russian).

Textbooks:

1. Sbornik zadach po analiticheskoj geometrii i linejnoj algebre (Problem book in analytic geometry and linear algebra) , Yu.M.Smirnov ed., composed by L.A.Alania, I.A.Dynnikov, S.M.Gusein-Zade, V.M.Manuilov, D.V.Millionschikov, A.S.Mischenko, E.A.Morozova, T.E.Panov, M.M.Postnikov, E.G.Sklyarenko, E.V.Troitsky, Fizmatlit, Moscow, 2000; 2nd edition, Moscow State University, 2005.

Other publications:

1. Victor Buchstaber and Taras Panov. Moment-angle complexes and combinatorics of simplicial manifolds, arXiv:math.AT/0005199.
2. Taras Panov. Stanley-Reisner rings and torus actions, arXiv:math.AT/0303164.
3. Taras Panov. Toric topology and complex cobordism, notes of the lectures at the Osaka City University Summer School on Symplectic Geometry and Toric Topology. pdf

More than 30 abstracts of conference talks.