Thomas Hans Willwacher - Author Profile

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Willwacher, Thomas Hans

Author ID:	willwacher.thomas
Published as:	Willwacher, Thomas; Willwacher, T. H.
Homepage:	http://user.math.uzh.ch/willwacher/
External Links:	MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
Videos:	carmin.tv
Awards:	EMS Prize (2016)

Documents Indexed:	73 Publications since 2007, including 25 Additional arXiv Preprints
Co-Authors:	30 Co-Authors with 54 Joint Publications
	453 Co-Co-Authors

all top 5

Co-Authors

19	single-authored
7	Merkulov, Sergei A.
7	Turchin, Victor Éduardovich
6	Felder, Giovanni
5	Campos, Ricardo
5	Fresse, Benoit
5	Khoroshkin, Anton
5	Živković, Marko
4	Dolgushev, Vasily A.
3	Payne, Sam
3	Rossi, Carlo Antonio
2	Berest, Yuri Yu.
2	Brun, Simon
2	Calaque, Damien
2	Cattaneo, Alberto Sergio
2	Ducoulombier, Julien
2	Idrissi, Najib
2	Naef, Florian
2	Patotski, Sasha
2	Ramadoss, Ajay C.
2	Ševera, Pavol
1	Alekseev, Anton Yur’evich
1	Andersson, Assar
1	Borinsky, Michael
1	Brück, Benjamin
1	Felder, Matteo
1	Ferrario, Andrea
1	Horel, Geoffroy
1	Lindell, Erik
1	Rogers, Christopher Lee
1	Torossian, Charles

all top 5

Serials

6	Letters in Mathematical Physics
5	IMRN. International Mathematics Research Notices
4	Advances in Mathematics
3	Duke Mathematical Journal
2	Communications in Mathematical Physics
2	Inventiones Mathematicae
2	Journal of Algebra
2	Journal of the European Mathematical Society (JEMS)
1	American Journal of Mathematics
1	Compositio Mathematica
1	Journal of the London Mathematical Society. Second Series
1	Journal of Pure and Applied Algebra
1	Journal für die Reine und Angewandte Mathematik
1	Proceedings of the American Mathematical Society
1	Transactions of the American Mathematical Society
1	Forum Mathematicum
1	The New York Journal of Mathematics
1	Selecta Mathematica. New Series
1	Mathematical Research Letters
1	Annals of Mathematics. Second Series
1	Homology, Homotopy and Applications
1	Algebraic & Geometric Topology
1	Comptes Rendus. Mathématique. Académie des Sciences, Paris
1	Journal of Homotopy and Related Structures
1	Journal of Topology
1	Münster Journal of Mathematics
1	Transactions of the London Mathematical Society

all top 5

Fields

37	Category theory; homological algebra (18-XX)
24	Differential geometry (53-XX)
17	Nonassociative rings and algebras (17-XX)
17	Algebraic topology (55-XX)
11	Associative rings and algebras (16-XX)
8	Manifolds and cell complexes (57-XX)
7	Quantum theory (81-XX)
4	Combinatorics (05-XX)
3	Global analysis, analysis on manifolds (58-XX)
2	Algebraic geometry (14-XX)
2	Group theory and generalizations (20-XX)
1	Commutative algebra (13-XX)
1	\(K\)-theory (19-XX)
1	Special functions (33-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

44 Publications have been cited 406 times in 183 Documents	Cited by ▼	Year ▼
M. Kontsevich’s graph complex and the Grothendieck-Teichmüller Lie algebra. Zbl 1394.17044 Willwacher, Thomas	73	2015
Operadic twisting – with an application to Deligne’s conjecture. Zbl 1305.18032 Dolgushev, Vasily; Willwacher, Thomas	36	2015
Equivalence of formalities of the little discs operad. Zbl 1241.18008 Ševera, Pavol; Willwacher, Thomas	22	2011
Differentials on graph complexes. Zbl 1352.05192 Khoroshkin, Anton; Willwacher, Thomas; Živković, Marko	15	2017
The Frobenius properad is Koszul. Zbl 1360.18014 Campos, Ricardo; Merkulov, Sergei; Willwacher, Thomas	15	2016
The homotopy braces formality morphism. Zbl 1346.53077 Willwacher, Thomas	14	2016
The oriented graph complexes. Zbl 1307.05088 Willwacher, Thomas	14	2015
Formality of cyclic chains. Zbl 1230.18014 Willwacher, Thomas	13	2011
The intrinsic formality of \(E_n\)-operads. Zbl 1445.18014 Fresse, Benoit; Willwacher, Thomas	13	2020
A counterexample to the quantizability of modules. Zbl 1138.53069 Willwacher, Thomas	13	2007
Triviality of the higher formality theorem. Zbl 1328.18013 Calaque, Damien; Willwacher, Thomas	12	2015
Multiple edges in M. Kontsevich’s graph complexes and computations of the dimensions and Euler characteristics. Zbl 1305.05058 Willwacher, Thomas; Živković, Marko	11	2015
Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism. Zbl 1406.16014 Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas	11	2017
Deformation theory of Lie bialgebra properads. Zbl 1487.17042 Merkulov, Sergei; Willwacher, Thomas	10	2018
Kontsevich’s graph complex, GRT, and the deformation complex of the sheaf of polyvector fields. Zbl 1329.14093 Dolgushev, V. A.; Rogers, C. L.; Willwacher, T. H.	10	2015
The homotopy theory of operad subcategories. Zbl 1405.18015 Fresse, Benoit; Turchin, Victor; Willwacher, Thomas	10	2018
Stable cohomology of polyvector fields. Zbl 1318.53104 Willwacher, Thomas	9	2014
The character map in deformation quantization. Zbl 1227.53087 Cattaneo, Alberto S.; Felder, Giovanni; Willwacher, Thomas	7	2011
Relative (non-)formality of the little cubes operads and the algebraic Cerf lemma. Zbl 1428.18033 Turchin, Victor; Willwacher, Thomas	7	2018
Formality of cyclic cochains. Zbl 1251.53058 Willwacher, Thomas; Calaque, Damien	7	2012
Characteristic classes in deformation quantization. Zbl 1405.53125 Willwacher, Thomas	6	2015
An explicit two step quantization of Poisson structures and Lie bialgebras. Zbl 1404.53106 Merkulov, Sergei; Willwacher, Thomas	6	2018
Commutative hairy graphs and representations of \(\mathrm{Out}(F_r)\). Zbl 1376.55010 Turchin, Victor; Willwacher, Thomas	6	2017
Chern-Simons forms and higher character maps of Lie representations. Zbl 1405.17013 Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas	5	2017
The obstruction to the existence of a loopless star product. Zbl 1307.53077 Willwacher, Thomas	5	2014
On the (ir)rationality of Kontsevich weights. Zbl 1187.53087 Felder, Giovanni; Willwacher, Thomas	5	2010
Operadic torsors. Zbl 1354.18013 Campos, Ricardo; Willwacher, Thomas	4	2016
Differentials on graph complexes. II: Hairy graphs. Zbl 1373.05216 Khoroshkin, Anton; Willwacher, Thomas; Živković, Marko	4	2017
A direct computation of the cohomology of the braces operad. Zbl 1390.18022 Dolgushev, Vasily; Willwacher, Thomas	4	2017
Grothendieck-Teichmüller and Batalin-Vilkovisky. Zbl 1296.81037 Merkulov, Sergei; Willwacher, Thomas	4	2014
The deformation complex is a homotopy invariant of a homotopy algebra. Zbl 1318.18004 Dolgushev, Vasily; Willwacher, Thomas	4	2014
A model for configuration spaces of points. Zbl 1526.55011 Campos, Ricardo; Willwacher, Thomas	4	2023
Classification of universal formality maps for quantizations of Lie bialgebras. Zbl 1541.17008 Merkulov, Sergei; Willwacher, Thomas	4	2020
On the delooping of (framed) embedding spaces. Zbl 1482.55010 Ducoulombier, Julien; Turchin, Victor; Willwacher, Thomas	4	2021
On quantizable odd Lie bialgebras. Zbl 1405.17046 Khoroshkin, Anton; Merkulov, Sergei; Willwacher, Thomas	3	2016
Cyclic cohomology of the Weyl algebra. Zbl 1312.53114 Willwacher, Thomas	3	2015
Little disks operads and Feynman diagrams. Zbl 1441.18027 Willwacher, Thomas	3	2018
Jointly orthogonal polynomials. Zbl 1323.33013 Felder, Giovanni; Willwacher, Thomas	2	2015
The Grothendieck-Teichmüller group action on differential forms and formality morphisms of chains. Zbl 1378.18015 Willwacher, Thomas	2	2017
Logarithms and deformation quantization. Zbl 1357.53103 Alekseev, Anton; Rossi, Carlo A.; Torossian, Charles; Willwacher, Thomas	2	2016
A note on the Koszul complex in deformation quantization. Zbl 1211.53102 Ferrario, Andrea; Rossi, Carlo Antonio; Willwacher, Thomas	1	2011
Pre-Lie pairs and triviality of the Lie bracket on the twisted hairy graph complexes. Zbl 1511.18015 Willwacher, Thomas	1	2022
Stable cohomology of graph complexes. Zbl 1518.81051 Felder, Matteo; Naef, Florian; Willwacher, Thomas	1	2023
Models for the \(n\)-Swiss cheese operads. Zbl 1503.18013 Willwacher, Thomas	1	2021
A model for configuration spaces of points. Zbl 1526.55011 Campos, Ricardo; Willwacher, Thomas	4	2023
Stable cohomology of graph complexes. Zbl 1518.81051 Felder, Matteo; Naef, Florian; Willwacher, Thomas	1	2023
Pre-Lie pairs and triviality of the Lie bracket on the twisted hairy graph complexes. Zbl 1511.18015 Willwacher, Thomas	1	2022
On the delooping of (framed) embedding spaces. Zbl 1482.55010 Ducoulombier, Julien; Turchin, Victor; Willwacher, Thomas	4	2021
Models for the \(n\)-Swiss cheese operads. Zbl 1503.18013 Willwacher, Thomas	1	2021
The intrinsic formality of \(E_n\)-operads. Zbl 1445.18014 Fresse, Benoit; Willwacher, Thomas	13	2020
Classification of universal formality maps for quantizations of Lie bialgebras. Zbl 1541.17008 Merkulov, Sergei; Willwacher, Thomas	4	2020
Deformation theory of Lie bialgebra properads. Zbl 1487.17042 Merkulov, Sergei; Willwacher, Thomas	10	2018
The homotopy theory of operad subcategories. Zbl 1405.18015 Fresse, Benoit; Turchin, Victor; Willwacher, Thomas	10	2018
Relative (non-)formality of the little cubes operads and the algebraic Cerf lemma. Zbl 1428.18033 Turchin, Victor; Willwacher, Thomas	7	2018
An explicit two step quantization of Poisson structures and Lie bialgebras. Zbl 1404.53106 Merkulov, Sergei; Willwacher, Thomas	6	2018
Little disks operads and Feynman diagrams. Zbl 1441.18027 Willwacher, Thomas	3	2018
Differentials on graph complexes. Zbl 1352.05192 Khoroshkin, Anton; Willwacher, Thomas; Živković, Marko	15	2017
Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism. Zbl 1406.16014 Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas	11	2017
Commutative hairy graphs and representations of \(\mathrm{Out}(F_r)\). Zbl 1376.55010 Turchin, Victor; Willwacher, Thomas	6	2017
Chern-Simons forms and higher character maps of Lie representations. Zbl 1405.17013 Berest, Yuri; Felder, Giovanni; Patotski, Sasha; Ramadoss, Ajay C.; Willwacher, Thomas	5	2017
Differentials on graph complexes. II: Hairy graphs. Zbl 1373.05216 Khoroshkin, Anton; Willwacher, Thomas; Živković, Marko	4	2017
A direct computation of the cohomology of the braces operad. Zbl 1390.18022 Dolgushev, Vasily; Willwacher, Thomas	4	2017
The Grothendieck-Teichmüller group action on differential forms and formality morphisms of chains. Zbl 1378.18015 Willwacher, Thomas	2	2017
The Frobenius properad is Koszul. Zbl 1360.18014 Campos, Ricardo; Merkulov, Sergei; Willwacher, Thomas	15	2016
The homotopy braces formality morphism. Zbl 1346.53077 Willwacher, Thomas	14	2016
Operadic torsors. Zbl 1354.18013 Campos, Ricardo; Willwacher, Thomas	4	2016
On quantizable odd Lie bialgebras. Zbl 1405.17046 Khoroshkin, Anton; Merkulov, Sergei; Willwacher, Thomas	3	2016
Logarithms and deformation quantization. Zbl 1357.53103 Alekseev, Anton; Rossi, Carlo A.; Torossian, Charles; Willwacher, Thomas	2	2016
M. Kontsevich’s graph complex and the Grothendieck-Teichmüller Lie algebra. Zbl 1394.17044 Willwacher, Thomas	73	2015
Operadic twisting – with an application to Deligne’s conjecture. Zbl 1305.18032 Dolgushev, Vasily; Willwacher, Thomas	36	2015
The oriented graph complexes. Zbl 1307.05088 Willwacher, Thomas	14	2015
Triviality of the higher formality theorem. Zbl 1328.18013 Calaque, Damien; Willwacher, Thomas	12	2015
Multiple edges in M. Kontsevich’s graph complexes and computations of the dimensions and Euler characteristics. Zbl 1305.05058 Willwacher, Thomas; Živković, Marko	11	2015
Kontsevich’s graph complex, GRT, and the deformation complex of the sheaf of polyvector fields. Zbl 1329.14093 Dolgushev, V. A.; Rogers, C. L.; Willwacher, T. H.	10	2015
Characteristic classes in deformation quantization. Zbl 1405.53125 Willwacher, Thomas	6	2015
Cyclic cohomology of the Weyl algebra. Zbl 1312.53114 Willwacher, Thomas	3	2015
Jointly orthogonal polynomials. Zbl 1323.33013 Felder, Giovanni; Willwacher, Thomas	2	2015
Stable cohomology of polyvector fields. Zbl 1318.53104 Willwacher, Thomas	9	2014
The obstruction to the existence of a loopless star product. Zbl 1307.53077 Willwacher, Thomas	5	2014
Grothendieck-Teichmüller and Batalin-Vilkovisky. Zbl 1296.81037 Merkulov, Sergei; Willwacher, Thomas	4	2014
The deformation complex is a homotopy invariant of a homotopy algebra. Zbl 1318.18004 Dolgushev, Vasily; Willwacher, Thomas	4	2014
Formality of cyclic cochains. Zbl 1251.53058 Willwacher, Thomas; Calaque, Damien	7	2012
Equivalence of formalities of the little discs operad. Zbl 1241.18008 Ševera, Pavol; Willwacher, Thomas	22	2011
Formality of cyclic chains. Zbl 1230.18014 Willwacher, Thomas	13	2011
The character map in deformation quantization. Zbl 1227.53087 Cattaneo, Alberto S.; Felder, Giovanni; Willwacher, Thomas	7	2011
A note on the Koszul complex in deformation quantization. Zbl 1211.53102 Ferrario, Andrea; Rossi, Carlo Antonio; Willwacher, Thomas	1	2011
On the (ir)rationality of Kontsevich weights. Zbl 1187.53087 Felder, Giovanni; Willwacher, Thomas	5	2010
A counterexample to the quantizability of modules. Zbl 1138.53069 Willwacher, Thomas	13	2007

all cited Publications top 5 cited Publications

all top 5

Cited by 173 Authors

30	Willwacher, Thomas Hans
11	Dolgushev, Vasily A.
9	Merkulov, Sergei A.
7	Idrissi, Najib
7	Živković, Marko
6	Berest, Yuri Yu.
6	Dotsenko, Vladimir Viktorovich
6	Felder, Giovanni
6	Khoroshkin, Anton
6	Ramadoss, Ajay C.
6	Rossi, Carlo Antonio
5	Alekseev, Anton Yur’evich
5	Calaque, Damien
5	Rogers, Christopher Lee
5	Turchin, Victor Éduardovich
5	Ward, Benjamin C.
4	Buring, Ricardo
4	Campos, Ricardo
4	Ducoulombier, Julien
4	Felder, Matteo
4	Kiselev, Arthemy V.
4	Safronov, Pavel
4	Stiénon, Mathieu
4	Xu, Ping
3	Chan, Melody
3	Chen, Xiaojun
3	Eshmatov, Farkhod
3	Fresse, Benoit
3	Markl, Martin
3	Naef, Florian
3	Torossian, Charles
3	Vallette, Bruno
3	Van den Bergh, Michel
2	Bashkirov, Denis
2	Batanin, Michael A.
2	Cattaneo, Alberto Sergio
2	Dancso, Zsuzsanna
2	Furusho, Hidekazu
2	Galatius, Søren
2	Horel, Geoffroy
2	Liao, Hsuan-Yi
2	Liu, Leilei
2	Livernet, Muriel
2	Melani, Valerio
2	Morand, Kevin
2	Morita, Shigeyuki
2	Moshayedi, Nima
2	Paljug, Brian
2	Payne, Sam
2	Roig, Agustí
2	Ševera, Pavol
2	Shadrin, Sergey V.
2	Shoikhet, Boris B.
2	Stoll, Robin
2	Tsygan, Boris
2	Voronov, Alexander A.
2	Yeung, Wai-Kit
2	Zhang, Yining
1	Argüz, Hülya
1	Arone, Gregory Z.
1	Bandiera, Ruggero
1	Banks, Peter
1	Bar-Natan, Dror
1	Baranovsky, Vladimir
1	Barmeier, Severin
1	Bellingeri, Carlo
1	Berghoff, Marko
1	Boavida de Brito, Pedro
1	Borinsky, Michael
1	Brandt, Madeline
1	Bressler, Paul
1	Brown, Francis C. S.
1	Bruce, Juliette
1	Bruinsma, Simen
1	Brun, Simon
1	Bruned, Yvain
1	Chen, Youming
1	Chevyrev, Ilya
1	Chiang, Yik-Man
1	Ching, Avery
1	Cieliebak, Kai
1	Corradino, Jesse
1	De Leger, Florian
1	de Thanhoffer de Völcsey, Louis
1	Dito, Giuseppe
1	Eshmatov, Alimjon
1	Faber, Carel Filip
1	Ferrario, Andrea
1	Flynn-Connolly, Oisín
1	Foissy, Loïc
1	Fukaya, Kenji
1	Gadish, Nir
1	Gasparim, Elizabeth
1	Giansiracusa, Jeffrey
1	Gorokhovsky, Alexander
1	Grady, Ryan E.
1	Gui, Zhengping
1	Gutt, Simone
1	Gwilliam, Owen
1	Haese-Hill, William A.
...and 73 more Authors

all top 5

Cited in 61 Serials

19	Advances in Mathematics
18	Letters in Mathematical Physics
10	Journal of Noncommutative Geometry
9	Communications in Mathematical Physics
8	Selecta Mathematica. New Series
6	Journal of Homotopy and Related Structures
6	Higher Structures
5	Inventiones Mathematicae
5	Journal of Algebra
5	Journal of Pure and Applied Algebra
5	Algebraic & Geometric Topology
4	Theory and Applications of Categories
4	Comptes Rendus. Mathématique. Académie des Sciences, Paris
4	Journal of Topology
3	Journal of the London Mathematical Society. Second Series
3	Proceedings of the American Mathematical Society
3	Transactions of the American Mathematical Society
3	Algebras and Representation Theory
2	Journal of Geometry and Physics
2	Compositio Mathematica
2	Journal für die Reine und Angewandte Mathematik
2	Forum Mathematicum
2	Applied Categorical Structures
2	Geometry & Topology
2	Journal of the European Mathematical Society (JEMS)
2	Oberwolfach Reports
2	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2	Forum of Mathematics, Sigma
2	EMS Surveys in Mathematical Sciences
2	Research in the Mathematical Sciences
1	Communications in Algebra
1	Israel Journal of Mathematics
1	Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1	Mathematical Proceedings of the Cambridge Philosophical Society
1	Physics Letters. B
1	American Journal of Mathematics
1	Annales de l’Institut Fourier
1	Duke Mathematical Journal
1	Memoirs of the American Mathematical Society
1	Proceedings of the London Mathematical Society. Third Series
1	Synthese
1	Topology and its Applications
1	Journal of the American Mathematical Society
1	Sugaku Expositions
1	Differential Geometry and its Applications
1	Experimental Mathematics
1	Georgian Mathematical Journal
1	The New York Journal of Mathematics
1	Documenta Mathematica
1	Annals of Mathematics. Second Series
1	Journal of High Energy Physics
1	Annales Henri Poincaré
1	Journal of Nonlinear Mathematical Physics
1	Quantum Topology
1	Forum of Mathematics, Pi
1	Transactions of the London Mathematical Society
1	Journal de l’École Polytechnique – Mathématiques
1	Journal of Combinatorial Algebra
1	Annales Henri Lebesgue
1	Graduate Journal of Mathematics
1	Open Communications in Nonlinear Mathematical Physics

all top 5

Cited in 30 Fields

98	Category theory; homological algebra (18-XX)
62	Differential geometry (53-XX)
51	Nonassociative rings and algebras (17-XX)
51	Algebraic topology (55-XX)
38	Associative rings and algebras (16-XX)
35	Algebraic geometry (14-XX)
35	Quantum theory (81-XX)
22	Manifolds and cell complexes (57-XX)
15	Combinatorics (05-XX)
11	Global analysis, analysis on manifolds (58-XX)
10	\(K\)-theory (19-XX)
6	Commutative algebra (13-XX)
6	Group theory and generalizations (20-XX)
6	Several complex variables and analytic spaces (32-XX)
5	Number theory (11-XX)
3	Topological groups, Lie groups (22-XX)
2	General and overarching topics; collections (00-XX)
2	Special functions (33-XX)
2	Functional analysis (46-XX)
2	Probability theory and stochastic processes (60-XX)
2	Computer science (68-XX)
2	Relativity and gravitational theory (83-XX)
1	Mathematical logic and foundations (03-XX)
1	General algebraic systems (08-XX)
1	Field theory and polynomials (12-XX)
1	Ordinary differential equations (34-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Operator theory (47-XX)
1	Numerical analysis (65-XX)
1	Operations research, mathematical programming (90-XX)

Citations by Year

Wikidata Timeline

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