Moritz Groth – Curriculum Vitae - Mathematisches Institut der

Moritz Groth
Curriculum Vitae
Education and Positions
2015– Assistant of Prof. Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn, Germany.
2014–2015 Postdoc, Max Planck Institute for Mathematics, Bonn, Germany.
2011–2014 Postdoc of Prof. Moerdijk, Radboud Universiteit, Nijmegen, Netherlands.
2007–2011 Ph.D. student of Prof. Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn,
Germany.
2004–2005 Visiting student, MIT, Cambridge, Massachusetts.
2002–2006 Diploma student, Rheinische Friedrich-Wilhelms-Universität, Bonn, Germany.
2000–2002 Diploma student, Technische Universität, Dresden, Germany.
Ph.D. thesis
title On the theory of derivators, 2011
supervisor Prof. Schwede
Master thesis
title Connections for twisted vector bundles and a twisted version of the Hermite–Einstein equation, 2006
supervisor Prof. Huybrechts
Preprints
Moritz Groth. Introduction to derivators, volume I. http://www.math.uni-bonn.de/
people/mgroth/monos/intro-to-der-1.pdf, 2016. (draft version, 334 pages, still under
construction)
Moritz Groth. Characterizations of abstract stable homotopy theories. http://arxiv.org/
abs/1602.07632, 2016. (submitted, 19 pages)
Moritz Groth. Revisiting the canonicity of canonical triangulations. http://arxiv.org/
abs/1602.04846, 2016. (submitted, 34 pages)
Moritz Groth and Jan Šťovíček. Abstract tilting theory for quivers and related categories.
http://arxiv.org/abs/1512.06267, 2015. (submitted, 45 pages)
Moritz Groth. Monoidal derivators and additive derivators. http://arxiv.org/abs/1203.
5071, 2012. (will be subsumed by book project (see below), 41 pages)
Moritz Groth. A short course on ∞-categories. http://arxiv.org/abs/1007.2925, 2010.
(submitted, 77 pages)
Publications and accepted papers
Endenicher Allee 60, 53115 Bonn, Germany
• r http://www.math.uni-bonn.de/people/mgroth/
Mathematisches Institut der Universität Bonn
7 [email protected]
1/5
Moritz Groth and Jan Šťovíček. Abstract representation theory of Dynkin quivers of type A.
http://arxiv.org/abs/1409.5003, Advances in Mathematics 293 (2016), pp. 856-941
(86 pages)
Moritz Groth and Jan Šťovíček. Tilting theory for trees via stable homotopy theory. http:
//arxiv.org/abs/1402.6984, to appear in JPAA (44 pages)
Moritz Groth and Jan Šťovíček. Tilting theory via stable homotopy theory. http://arxiv.
org/abs/1401.6451, to appear in Crelle’s Journal (62 pages)
Dimitri Ara, Moritz Groth, and Javier Guitiérrez. On autoequivalences of the (∞, 1)category of ∞-operads. http://arxiv.org/abs/1312.4994, to appear in Mathematische
Zeitschrift (41 pages)
David Gepner, Moritz Groth, and Thomas Nikolaus. Universality of multiplicative infinite loop
space machines. http://arxiv.org/abs/1305.4550, to appear in Algebraic & Geometric
Topology (27 pages)
Moritz Groth, Kate Ponto, and Michael Shulman. The additivity of traces in monoidal
derivators. http://arxiv.org/abs/1212.3277, Journal of K-Theory 14 (2014), issue 03,
pp. 422-494 (73 pages)
Moritz Groth, Kate Ponto, and Michael Shulman. Mayer–Vietoris sequences in stable
derivators. Homology, Homotopy and Applications 16.1 (2014), pp. 265-294 (30 pages)
Moritz Groth. Derivators, pointed derivators and stable derivators. Algebraic & Geometric
Topology 13 (2013), pp. 313-374 (62 pages)
Two-volume research monograph in progress
Derivator theory, volume I (research monograph, roughly 530 pages so far; will replace
‘Introduction to derivators, volume I’)
○␣ Derivator theory, volume II (research monograph, roughly 80 pages so far)
○␣
Work in progress
○␣
Enriched derivators and weighted homotopy colimits, j/w Mike Shulman
○␣
Spectral Serre duality for acyclic quivers, j/w Jan Šťovíček
○␣
Spectral Picard groups for acyclic quivers, j/w Jan Šťovíček
○␣
Abstract iterated tilting theory for Dynkin quivers of type A, j/w Jan Šťovíček
Universal formulas in abstract homotopy theories
○␣ Cubical abstract homotopy theory
○␣ Towards abstract homotopy theory in derivator pretopoi
○␣
Series of talks
??/2016 EPFL, Lausanne, Switzerland, six talks on derivators and applications
09/2015 University of Barcelona, Spain, six talks at workshop ‘Dérivateurs à Barcelone’ (two
introductory talks by myself, four research talks j/w Šťovíček)
04/2015 CRM, Bellaterra, Spain, four talks on derivators and applications to abstract representation
theory (j/w Jan Šťovíček)
09/2014 NTNU Trondheim, Norway, three talks on aspects of the theory of derivators
08/2014 Universität Freiburg, Germany, Summer school ‘Derivators’, four talks
Endenicher Allee 60, 53115 Bonn, Germany
• r http://www.math.uni-bonn.de/people/mgroth/
Mathematisches Institut der Universität Bonn
7 [email protected]
2/5
11/2013
09/2013
07/2013
07/2013
University of Copenhagen, Denmark, Master course on ∞-categories, six talks
Louvain-la-Neuve, Belgium, Workshop on Homotopy Theory of ∞-categories, four talks
EPFL, Lausanne, Switzerland, Mini-Course on Derivators, three talks
EPFL, Lausanne, Switzerland, Mini-Course on ∞-categories, five talks
10/2011- Radboud University, Nijmegen, Netherlands, six talks on ‘Derivators, pointed derivators,
12/2011 and stable derivators’
07/2011
06/2011
09/2010
01/2010
Universität Osnabrück, Germany, three talks on ‘A short course on ∞-categories’
Universität Regensburg, Germany, four 2-hour talks on ‘A short course on ∞-categories’
University of Notre Dame, Indiana, four talks on ‘A short course on ∞-categories’
University of Warsaw, Poland, three talks on ‘A short course on ∞-categories’
Talks
??/2016 EPFL, Lausanne, Switzerland, TBA
08/2016 University of Leicester, England, 31st Sommer conference on Topology and its Applications,
TBA
07/2016 University of Regensburg, Germany, ‘Stability via weighted limits’
07/2016 Banff, Alberta, Canada, Workshop on Triangulated categories and Applications, ‘Derivators:
properties versus structures’
06/2016 University of Bielefeld, Germany, ‘Characterizations of abstract stable homotopy theories’
06/2016 University of Freiburg, Germany, Workshop on Homotopical approaches to categories and
geometry, ‘Stability via weighted limits’
03/2016 University of Stuttgart, Germany, Conference on Triangulated categories in algebra, geometry and topology, ‘Revisiting the stabilization of abstract homotopy theories’
02/2016 University of Bonn, Germany, ‘Revisiting the stabilization of homotopy theories’
11/2015 University of Bonn, Germany, ‘An introduction to abstract representation theory’
11/2015 University of Bonn, Germany, ‘Universal tilting modules via abstract homotopy theory’
08/2015 Max Planck Institute for Mathematics, Bonn, Germany, ‘An introduction to Grothendieck
derivators’
06/2015 University of Lille, France, ‘Towards abstract representation theory of acyclic quivers’
12/2014 Université Paris Diderot, France, ‘Abstract representation theory via stable homotopy
theory’
11/2014
10/2014
07/2014
05/2014
University of Toulouse, France, ‘Abstract representation theory via stable homotopy theory’
Charles University, Prague, Czech Republic, ‘An introduction to ∞-categories’
Universität Bielefeld, Germany, ‘Abstract representation theory of Dynkin quivers of type A’
Universität Freiburg, Germany, ‘Tilting theory via stable homotopy theory’
05/2014 Universität Wuppertal, Germany, 21st NRW Topology Meeting, ‘Tilting theory via stable
homotopy theory’
04/2014
04/2014
03/2014
02/2014
01/2014
11/2013
Universität Augsburg, Germany, ‘Tilting theory via stable homotopy theory’
Universität Bielefeld, Germany, ‘Tilting theory via stable homotopy theory’
University of Sheffield, UK, ‘Grothendieck derivators (and tilting theory)’
Universität Regensburg, Germany, ‘Tilting theory via stable homotopy theory’
Charles University, Prague, Czech Republic, ‘Tilting theory via stable homotopy theory’
University of Copenhagen, Denmark, ‘Tilting theory via stable homotopy theory’
Endenicher Allee 60, 53115 Bonn, Germany
• r http://www.math.uni-bonn.de/people/mgroth/
Mathematisches Institut der Universität Bonn
7 [email protected]
3/5
07/2013 EPFL, Lausanne, Switzerland, Young Topologists Meeting, ‘A (monoidally) refined picture
of the stabilization’
06/2013 Halifax, Nova Scotia, CMS Summer Meeting, ‘Additive ∞-categories and canonical monoidal
structures’
05/2013 Universität Osnabrück, Germany, ‘Stable Grothendieck derivators and canonical triangulations’
05/2013 University of Utrecht, Netherlands, GQT meeting, ‘Some first steps with Grothendieck
derivators’
05/2013 Charles University, Prague, Czech Republic, ‘Stable derivators as enhancement of triangulated categories’
05/2013 Max Planck Institute for Mathematics, Bonn, Germany, ‘A few steps with Grothendieck
derivators’
04/2013 University of Illinois at Urbana-Champaign, Illinois, ‘The additivity of traces in monoidal
derivators’
04/2013 University of Notre Dame, Indiana, two talks: ‘Introduction to Grothendieck derivators’
and ‘The additivity of traces in monoidal derivators’
04/2013
04/2013
04/2013
03/2013
02/2013
UC Riverside, California, ‘An introduction to Grothendieck derivators’
Stanford University, California, ‘The additivity of traces in monoidal derivators’
UC Berkeley, California, ‘Grothendieck derivators’
University of Lille, France, ‘The additivity of traces in monoidal derivators’
University of Copenhagen, Denmark, ‘The additivity of traces in monoidal derivators’
12/2012 Radboud University, Nijmegen, Netherlands, Higher Structures along the Lower Rhine II,
‘The additivity of traces in monoidal derivators’
11/2012
05/2012
04/2012
01/2012
11/2011
EPFL, Lausanne, Switzerland, ‘An introduction to the theory of derivators’
Universität Regensburg, Germany, ‘Derivators, pointed derivators, and stable derivators’
Ruhr-Universität Bochum, Germany, ‘Derivators, pointed derivators, and stable derivators’
UQAM, Montreal, Canada, two talks on ‘Derivators, pointed derivators, and stable derivators’
Universität Bielefeld, Germany, ‘Derivators, pointed derivators, and stable derivators’
08/2011 Universität Hamburg, Germany, Conference on Structured Ring Spectra, bell-show talk on
‘Monoidal derivators and additive derivators’ and ‘Derivators, pointed derivators, and stable
derivators’
09/2010 Harvard University, Cambridge, Massachusetts, two talks on ‘Derivators, pointed derivators,
and stable derivators’
Bachelor and master students
○␣
○␣
○␣
○␣
○␣
Anno Kurth, bachelor thesis, Infinite symmetric products and the Dold-Thom theorem
Aras Ergus, bachelor thesis, Loop objects in pointed derivators
Mauricio Cepeda Davila, master thesis, Universal model categories
Margo Ermens, master thesis, The homotopy theory of Γ-spaces
Joshua Moerman, bachelor thesis, The Dold–Kan correspondence
Teaching Experiences
Details for the individual activities (those from summer 2012 on) can be found on my webpage.
summer 16 Seminar ‘Abstract homotopy theory via derivators’ (University of Bonn)
winter 15/16 Assistant for course ‘Introduction to algebra’ (University of Bonn)
Endenicher Allee 60, 53115 Bonn, Germany
• r http://www.math.uni-bonn.de/people/mgroth/
Mathematisches Institut der Universität Bonn
7 [email protected]
4/5
winter 15/16
winter 14/15
summer 14
winter 13/14
summer 13
summer 13
winter 12/13
winter 12/13
summer 12
summer 12
winter 10/11
summer 10
Seminar ‘Equivariant homotopy theory’ (University of Bonn, j/w Prof. Schwede)
Course ‘Selected Topics in Topology: Derivators’ (University of Bonn)
Course ‘Algebraic Topology II’ (Radboud University, j/w Prof. Moerdijk)
Course ‘Algebraic Topology I’ (Radboud University, j/w Prof. Moerdijk)
Course ‘Cohomology Theory’ (Radboud University)
Seminar ‘Topics in Cohomology Theory’ (Radboud University)
Course ‘Homotopy Theory’ (Radboud University, j/w Prof. Moerdijk)
Seminar ‘Elliptic Curves’ (Radboud University, j/w Giovanni Caviglia)
Course ‘Algebraic Topology’ (Radboud University, j/w Prof. Moerdijk)
Seminar ‘Simplicial Homotopy Theory’ (Radboud University, j/w Dr. Schreiber)
Seminar ‘Model Categories’ (University of Bonn, j/w Prof. Schwede)
Seminar ‘p-adic analysis’ (University of Bonn, j/w Dr. Welter)
winter 02- Teaching assistant in mathematics for chemistry students: linear algebra and calculus
summer 07 (University of Bonn)
summer 02 Teaching assistant in ‘Differential geometry II’ (University of Dresden)
Service
09/2015
04/2015
08/2014
winter 2011
winter 2009
winter 2001
Four talks at workshop on derivators, University of Barcelona, Spain
Special seminar on derivators, UAB, Bellaterra, Spain
Summer school ‘Derivators’, Freiburg, Germany
Research Seminar ‘∞-categories and their applications’ (j/w Dr. Raptis)
Ph.D. seminar on Relative Homological Algebra (University of Bonn)
Mentor for first-year students (University of Dresden)
Grants, fundings, and long term invitations
03/2015- Invited researcher for research program IRTATCA: Interactions between Representation
04/2015 Theory, Algebraic Topology and Commutative Algebra, CRM, Bellaterra, Spain
03/2007- doctoral fellow of the Graduiertenkolleg 1150 ‘Homotopy and Cohomology’ at the math
02/2010 department of the Rheinische Friedrich-Wilhelms-Universität Bonn
08/2004- foreign exchange scholarship of the ‘Studienstiftung des deutschen Volkes’ for one year at
06/2005 MIT, Cambridge, Massachusetts
02/2003- fellow of the ‘Studienstiftung des deutschen Volkes’
03/2006
Endenicher Allee 60, 53115 Bonn, Germany
• r http://www.math.uni-bonn.de/people/mgroth/
Mathematisches Institut der Universität Bonn
7 [email protected]
5/5