PD Dr. Alexander Alldridge • Independent research group leader

PD Dr. Alexander Alldridge •
Independent research group leader
Work address: University of Cologne, Weyertal 86-90, 50937 Köln, Germany
Tel: +49-221-4705398 (work)
Home address: Langenfelder Str. 16b, 51371 Leverkusen, Germany
Tel: +49-2173-2607355 · +49-172-7537030 (mobile)
Email: [email protected] · Web: http://www.mi.uni-koeln.de/~alldridg
EDUCATION
2004–2010
1999–2004
1995–1999
1996–1998
1993–1995
1993
University of Paderborn, Institute for Mathematics
Habilitation in Mathematics
Thesis title: Harmonic analysis on Riemannian symmetric superspaces
Referees: H. Glöckner, A.T. Huckleberry, K.-H. Neeb, Chr. Schweigert
University of Marburg, Department of Mathematics and Computer Science
Doctor of Mathematics, Thesis title: Toeplitz operators on semi-simple Lie groups
Mark: summa cum laude, Supervisor: H. Upmeier
University of Marburg, Department of Mathematics and Computer Science
Maths Diploma, Dissertation: Toeplitzoperatoren auf dem Hardyraum von SL2 (R)
Mark: with utmost distinction, Supervisor: H. Upmeier
University of Marburg, Centre for Japanese Studies
Studies in Japanese Language, Passed pre-degree (Vordiplom) language exams
University of Marburg, Department of Mathematics and Computer Science
Pre-degrees in Computer Science and Mathematics, Mark: 1 (both)
Städtisches Dreikönigsgymnasium zu Köln, Abitur (A-Levels)
Mark: 1.0 (2nd of school)
EMPLOYMENT
2010–today
2004–2010
1999–2004
University of Cologne, Mathematical Institute
Leader, independent research group (funded by German Research Council)
– Head of research unit, all-round management experience in funding and
people management, academic leadership, and recruitment
– Sought out and obtained funding in collaboration and independently
– Supervised PhD dissertations and Masters theses
University of Paderborn, Institute for Mathematics
Research associate and postdoctoral researcher
– Taught lecture courses to undergraduates and postgraduates
– Contributed to curricular design
– Engaged in assessment and examination of students and doctorals
University of Marburg, Department of Mathematics and Computer Science
Research assistant and doctoral researcher
– Assisted in teaching undergraduates, marking, examination, invigilation
– Responsible for assignment of teaching assistants
– Mentoring and informal guidance to undergrads and fellow doctorals
FUNDING
2015
2014
2014–2017
2013–2018
2012–2013
2011
2011–2014
2010–2016
Conference, supported by SPP 1388 and SFB/TR 12, € 20K
QM2 guest funding, Centre of Excellence QM2 , € 8.5K
UoC Advanced Researcher Group Grant, Excellence Intiative, € 180K
QM2 independence/travel fund, Centre of Excellence QM2 , € 5K p.a.
PhD grant, Collaborative Research Centre SFB TR/12, € 48K
Conference, supported by SPP 1388 and SFB/TR 12, € 7K
PhD grant, Collaborative Research Centre SFB TR/12, € 144.9K
Independent junior research group, funded from the proceed of the Leibniz prize
awarded to M.R. Zirnbauer (DFG ZI 513/2-1), € 825K
Cologne, December 4, 2015
APPENDIX
PUBLICATIONS
Proceedings and survey articles are marked by ∗.
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2002
[1]. Superorbits, submitted, 45 pp. arXiv:1502.04375v2 (w/ J. Hilgert and T.
Wurzbacher).
[2]. Spherical representations of Lie supergroups, J. Func. Anal. 268 (2015), no. 6,
1403–1453 DOI 10.1016/j.jfa.2014.11.018 (w/ S. Schmittner).
[3]. Asymptotics of spherical superfunctions on rank one Riemannian symmetric
superspaces, Documenta Math. 19 (2014), 1317–1366 (w/ W. Palzer).
[4].∗ I: Harmonic Analysis on Lie Supergroups — An Overview, II: Riesz Superdistributions, In: P. Jørgensen, K.-H. Neeb and G. Ólafsson (eds.), Reﬂection
Positivity in Representation Theory, Stochastics, and Physics (MFO Workshop,
Nov. 30–Dec. 6, 2014), Oberwolfach Reports 55 (2014), pp. 7–10.
[5]. Fréchet globalisations of Harish-Chandra supermodules, submitted, 30 pp.
http://arxiv.org/abs/1403.4055.
[6]. Singular superspaces, Math. Z. 278 (2014), no. 1–2, 441–492 (w/ J. Hilgert
and T. Wurzbacher).
[7]. Superbosonization via Riesz superdistributions, Forum of Math., Sigma 2
(2014), e9 (64 pp.) (w/ Z. Shaikh).
[8].∗ Superbosonisation, Riesz superdistributions, and highest weight modules,
In: M. Gorelik and P. Papi (eds.), Advances in Lie Superalgebras (Rome, Dec 10–
15, 2012), Springer INdAM Series 7, Springer-Verlag, Berlin 2013, pp. 1–18 (w/ Z.
Shaikh).
[9].∗ Moderate growth representations of Lie supergroups, In: J. Hilgert, T. Kobayashi, K.-H. Neeb and T. Ratiu (eds.), Representations of Lie Groups and Supergroups (MFO Workshop, March 10–16, 2013), Oberwolfach Reports 13 (2013),
pp. 762–765.
[10]. Harmonic analysis on Heisenberg–Clifford Lie supergroups, J. London Math.
Soc. 87 (2013), no. 2, 561–585 (w/ J. Hilgert and M. Laubinger).
[11]. The Harish-Chandra isomorphism for reductive symmetric superpairs, Transformation Groups 17 (2012), no. 4, 889–919.
[12]. Berezin integration on non-compact supermanifolds, J. Geom. Phys. 62
(2012), no. 2, 427–448 (w/ J. Hilgert and W. Palzer).
[13]. Inﬁnite-dimensional supermanifolds over arbitrary base ﬁelds, Forum. Math.
24 (2012), no. 3, 565–608 (w/ M. Laubinger).
[14]. A convenient category of supermanifolds, 32 pp. http://arxiv.org/abs/1109.
3161v1.
[15]. Convex polytopes and the index of Wiener–Hopf operators, J. Operator Theory 65 (2011), no. 1, 145–155.
[16]. Boundary orbit strata and faces of invariant cones and complex Ol’shanskii
semigroups, Trans. Amer. Math. Soc. 363 (2011), 3799–3828.
[17]. Chevalley’s restriction theorem for reductive symmetric superpairs, J. Algebra
323 (2010), no. 4, 1159–1185 (w/ J. Hilgert and M.R. Zirnbauer).
[18]. Invariant Berezin integration on homogeneous superspaces, J. Lie Theory
20 (2010), no. 1, 65–91 (w/ J. Hilgert).
[19].∗ Index theory for Wiener–Hopf operators on convex cones, In: J. Hilgert, A.
Hora, T. Kawazoe, K. Nishiyama and M. Voit (eds.), Inﬁnite-Dimensional Harmonic
Analysis IV (Tokyo, September 10–14, 2007), World Scientiﬁc, Singapore 2009,
pp. 1–12.
[20]. An index theorem for Wiener–Hopf operators, Adv. Math. 218 (2008), no. 1,
163–201 (w/ T.R. Johansen).
[21]. Spectrum and analytical indices of the C∗ -algebra of Wiener–Hopf operators,
J. Func. Anal. 249 (2007), no. 2, 425–453 (w/ T.R. Johansen).
[22].∗ Functoriality for twisted K-theory of stacks, In: U. Bunke, D. Freed and
T. Schick (eds.), Arbeitsgemeinschaft mit aktuellem Thema: Twisted K-Theory,
Oberwolfach Reports 3 (2006), pp. 2796–2800 (w/ J. Giansiracusa).
[23].∗ Index theory for Wiener–Hopf operators on convex cones, In: H. Upmeier
(ed.), Quantization and Analysis on Symmetric Spaces (Vienna, Sep 22-23, Oct
12, 2005), ESI Reports (2005), pp. 4–16.
[24].∗ Toeplitz operators on the Hardy space over SL(2, R): Irreducibility and
representations, In: A. Strasburger, J. Hilgert, K.-H. Neeb and W. Wojtyński (eds.),
Geometry and Analysis on Finite- and Inﬁnite-Dimensional Lie Groups (Bedlewo,
2000), Banach Center Publ. 55 (2002), pp. 173–209 (w/ H. Upmeier).
2
In preparation
[25]. Actions, slices, and radial parts, 30 pp. (w/ K. Coulembier).
[26]. Invariant superfunctions on symmetric superspaces, 38 pp. (w/ K. Coulembier).
[27]. Fourier analysis on rank one symmetric superspaces, 23 pp. (w/ W. Palzer).
[28]. Calculus on Supermanifolds, book, 430 pp. (w/ J. Hilgert and T. Wurzbacher).
[29]. Supermanifolds of maps and ﬁelds, 64 pp.
Theses
[30]. Harmonic analysis on Riemannian symmetric superspaces (2009), Habilitation, 58+85 pp.
[31]. Toeplitz operators on semi-simple Lie groups (2004), Dissertation, 254 pp.
[32]. Toeplitzoperatoren auf dem Hardyraum von SL(2, R) (1999), Diploma thesis,
102 pp.
TEACHING EXPERIENCE
University of Cologne
Spring 2015
Autumn 2013
Spring 2012
Autumn 2011
Spring 2011
Autumn 2010
Gauge ﬁeld theory · 1st year MMath
Representations of Lie algebras in category O · 3rd year BMath/1st year MMath
Representations and dualities of Lie superalgebras · 2nd year MMath
Geometry and analysis of supermanifolds and supergroups II · 2nd year MMath
Geometry and analysis of supermanifolds and supergroups I · 1st year MMath
Unitary representations of reductive Lie groups · 2nd year MMath
University of Paderborn
Spring 2009
Autumn 2008
Spring 2008
Spring 2007
Spring 2006
Representation theory of locally compact groups · 2nd year MMath
Mathematics C for Physicists* · 2nd year BPhys
Lie groups · 1st year MMath
Analysis IV* · 2nd year BMath
Geometric measure theory · Doctorals
University of Marburg
1999–2010
1995–1998
Organised and conducted tutorials on a regular basis, usually two per term
Conducted tutorials as a student TA, about one per term
* Conducted evaluations, reports available upon request.
SUPERVISION
Dissertations
12/2013–today
10/2012–
10/2015
10/2010–1/2014
9/2010–2/2014
D. Ostermayr · Super G-structures and harmonic maps
J. Perez Gavilan Torres · The symplectic plactic monoid, words, MV cycles, and
non-Levi branchings (co-referee; supervisor: P. Littelmann)
M. Mücke · Prehomogeneous super-vector spaces
W. Palzer · Fourier analysis on Riemannian symmetric superspaces of rank one
Diploma theses
2011
2010
S. Schmittner · Spherical representations of Lie superalgebras
W. Palzer · Integration on supermanifolds (co-referee; supervisor: J. Hilgert)
Master’s theses
4/2015–today
Chr. Max · Non-unitary Fourier analysis on super-Grassmannian varieties
Research internships
2013
Chr. Max · Local Fourier–Sherman theory for the supersphere
MEETINGS ORGANISED
Jan 16–17, 2015
Sep 19–22, 2011
Jan 16–27, 2009
Seminar Sophus Lie XLVIII, Physikzentrum Bad Honnef
Representation Theory of Lie Superalgebras, University of Cologne
with M. Gorelik, Weizmann Institute
Seminar Sophus Lie XXXVI, University of Paderborn
with H. Glöckner, Paderborn
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SERVICE TO DEPARTMENT AND UNIVERSITY
2014–today
2013, 2014/15
2012–today
2010
2006
2009–2010
2008–2010
2008–2009
2007, 2009
2006–2008
2005–2010
2005–2008
2004–2010
2000–2004
1999–2000
1995
Member of the board, Junior Faculty Club (Cologne)
Rector’s hiring ofﬁcer, hiring committees Supply Chain Management (Cologne)
Members’ committee, Centre of Excellence QM2 (Cologne)
Hiring committee Full professor in Algebra (Paderborn)
Hiring committee Heisenberg professor in Functional Analysis (Paderborn)
Programme commission, BSc/MSc mathematics education (Paderborn)
Exams ofﬁcer (Paderborn)
Administered exam proctors, developed a PHP3/SQL application (Paderborn)
Doctoral viva panels (Paderborn)
Programme commission, BSc/MSc mathematics (Paderborn)
Editor for the Department’s annual report (Paderborn)
Department board (Paderborn)
Doctoral exams commission (Paderborn)
Senate, elected member (Marburg)
Convent, convent directorate, elected member (Marburg)
Hiring committee Full professor in Geometry/Topology (Marburg)
SELECTED INVITED TALKS
7/2015
5/2015
3/2015
2/2015
6/2014
5/2014
5/2013
3/2013
12/2012
12/2012
2/2012
9/2011
4/2011
2/2011
6/2010
4/2010
3/2010
12/2009
9/2009
12/2008
11/2008
Supergroup actions and harmonic analysis
Workshop on Geometric Methods in Physics XXXIV, Białowieża, Poland
Superorbits
“Symmetries and Universality in Mesoscopic Physics”, University of Cologne
Symmetric superspacs: slices, radial parts, and invariants
Priority programme SPP 1388, annual meeting, Physikzentrum Bad Honnef
Invariant functions and operators on symmetric superspaces
“Representation Theory—Introductory Workshop”, Uppsala Universitet
Supergeometry and superbosonisation
Colloquium of the School for Pure Mathematics, Universität Hamburg
Fourier inversion and Paley–Wiener theorems for rank one symmetric
superspaces
Seminar Sophus Lie, Philipps-Universität Marburg
Globalisation of Harish-Chandra supermodules.
“2013 Workshop on Super Representation Theory”, Academia Sinica, Taipei
Moderate growth representations of Lie supergroups.
“Representation Theory of Lie Groups and Supergroups”, Oberwolfach
Superbosonisation, lowest weight modules, and Riesz superdistributions.
INdAM, Università di Roma “La Sapienza”, Italy
Minicourse: Supermanifolds of maps and ﬁelds.
Workshop on Graded Algebra and Geometry, Université du Luxembourg
Superbosonisation, Riesz superdistributions, and unitary highest weight
representations. Seminar Sophus Lie—Journées MNRS, Université de Reims
Smooth vectors in supergroup representations.
DFG-JSPS seminar “Lie Groups: Geometry & Analysis”, Universität Paderborn
A Paley–Wiener theorem for the super-hyperbolic disk.
Transformation Groups and Mathematical Physics, Universität Paderborn
Quantum diffusion for a 3D SUSY lattice model/Invariant differential operators on
symmetric superspaces. SFB/TR 12 review panel, LMU München
Invariante Differentialoperatoren auf symmetrischen Superräumen.
Seminar mathematische Physik, Universität Marburg
Invariant differential operators on symmetric superspaces.
Priority programme SPP 1388, annual meeting, Physikzentrum Bad Honnef
The Harish-Chandra isomorphism for reductive symmetric superspaces.
2nd Killing–Weierstrass Colloquium, Braniewo, Poland
Harmonic analysis on symmetric superspaces.
“Transformation Groups and Mathematical Physics IV”, Universität Hamburg
Towards harmonic analysis on Riemannian symmetric superspaces.
“Symmetries and Universality in Mesoscopic Physics”, Gdánsk, Poland
C∗ -algebras of Wiener–Hopf operators.
Oberseminar C∗ -Algebren Cuntz–Echterhoff–Werner, Universität Münster
Invariant differential operators on Riemannian symmetric superspaces
“Harmonic Analysis, Operator Algebras, and Representations”, CIRM, Luminy
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11/2007
9/2007
3/2007
12/2006
9/2006
9/2006
3/2006
9/2005
5/2005
6/2004
3/2004
3/2004
12/2003
3/2000
9/1999
Index theory for Wiener–Hopf operators
États de la Recherche, Géométrie non-commutative, Université Paul Verlaine
Index theory for Wiener–Hopf operators on arbitrary cones
“Inﬁnite-Dimensional Harmonic Analysis IV”, University of Tōkyō
An index theorem for Wiener-Hopf operators.
German Mathematical Society, annual meeting, Humboldt-Universität Berlin
Ein Indexsatz für Wiener-Hopf-Operatoren.
Graduiertenkolleg “Gruppen und Geometrie”, Universität Göttingen
Index Theory for Multivariate Wiener–Hopf Operators.
Kyōto University, Japan
The Embedding of Discrete Series Representations of Facial Subgroups.
Lie Groups and Representation Theory Seminar, RIMS, Japan
An Index Theorem for Wiener–Hopf Operators.
Seminaire Algèbres d’Opérateurs, Institut de Mathématique de Jussieu
Index Theory for Wiener–Hopf Operators on Convex Cones.
“Quantization, Complex and Harmonic Analysis”, Erwin-Schrödinger Institute
Zur Indextheorie von Wiener-Hopf Operatoren auf konvexen Kegeln.
Nordwestdeutsches Funktionalanalysis-Kolloquium, Universität Wuppertal
Geometry of Ol’shanskii Semigroups, and Applications to Operator Theory.
Seminar Sophus Lie XXVIII, Université Paul Verlaine
Multivariable Complex Analysis and Operator Theory.
University of Arkansas, Fayetteville, AR, USA
The Geometry of Ol’shanskii Domains, and Applications to Operator Theory.
University of Arkansas, Fayetteville, AR, USA
Toeplitz operators on the Hardy space of an Ol’shanskii semigroup
Section on “Operator Theory", AMS-India Meeting #992, IIS Bangalore
Non-commutative Hardy spaces and Toeplitz operators over SL(2, R).
“Nichtkommutative Geometrie”, Oberwolfach
Toeplitz operators on the Hardy space of SL(2, R).
“Complex Analysis”, Erwin-Schrödinger Institute, Vienna
RESEARCH VISITS
9/2014
4/2014
2/2014
9/2013
4/2013
3/2013
2–3/2013
12/2012
2/2012
10/2011
3/2008
9/2007
1–3/2007
10/2006
9/2006
9/2005
9/2000
1/2000
9/1999
Erwin Schrödinger Institute for Mathematical Physics, Vienna (1 week)
Max-Planck-Institute for Mathematics, Bonn (1 week)
Max-Planck-Institute for Mathematics, Bonn (1 week)
Max-Planck-Institute for Mathematics, Bonn (1 week)
Academia Sinica, Taiwan (10 days)
Mathematical Research Institute Oberwolfach (1 week)
Max-Planck-Institute for Mathematics, Bonn (1 week)
Istituto Nazionale di Alta Matematica Francesco Severi, Rome (1 week)
Max-Planck-Institute for Mathematics, Bonn (2 Wochen)
Mathematical Research Institute Oberwolfach (2 weeks)
Vanderbilt University, Nashville, TN (2 Wochen)
University of Tokyo (1 week)
Institut Henri Poincaré, Paris (2,5 months)
Mathematical Research Institute Oberwolfach (1 week)
Kyoto University (2 weeks)
Erwin Schrödinger Institute for Mathematical Physics, Vienna (1 week)
Mathematical Research and Conference Center, Bedlewo (2 weeks)
Mathematical Research Institute Oberwolfach (1 week)
Erwin Schrödinger Institute for Mathematical Physics, Vienna (1 month)
REFEREE
Journals
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Archiv der Mathematik
Algebras and Representation Theory
Annali di Matematica Pura ed Applicata
Bulletin of the Iranian Mathematical Society
Canadian Mathematical Bulletin
Communications in Mathematical Physics
Forum Mathematicum
Journal of Algebra
Journal of Functional Analysis
Journal of Lie Theory
Journal of Mathematical Physics
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Journal of Physics: Conference Proceedings
Mathematische Nachrichten
Mathematische Zeitschrift
MDPI Mathematics
Münster Journal of Mathematics
Paciﬁc Journal of Mathematics
Transformation Groups
Semigroup Forum
Symmetry
Funding bodies
– FWO–Research Foundation, Flanders
– GAČR–Czech Research Foundation
Reviewer for Mathematical Reviews/MathSciNet
MEMBERSHIP
– American Mathematical Society
– Deutsche Mathematiker-Vereinigung
– Deutscher Hochschulverband
FURTHER INFORMATION
Nationalities
British, German
Language skills
– English, German: native languages
– French: independent user B2 (estimated according to CEFR scale)
– Japanese: basic user A1 (estimated according to CEFR scale)
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