Research

Research centres

These are the centres for research I am part of.

Papers and preprints

Here are links to my publications as listed by some bibliographical servers. A full list of my papers and preprints is to be found further below.

Click on the title to access the arXiv version, if available. Click on the DOI to obtain the final published manuscript, if accessible at your institution.

[29]. Alexander Alldridge, Christopher Max, Martin R. Zirnbauer: Bulk-boundary correspondence for disordered free-fermion topological phases. http://arxiv.org/abs/1903.06782v1.
[28]. Alexander Alldridge, Siddhartha Sahi, Hadi Salmasian: Schur $Q$-functions and the Capelli eigenvalue problem for the Lie superalgebra $\mathfrak q(n)$, Representation theory and harmonic analysis on symmetric spaces, Contemp. Math. 714. Amer. Math. Soc., Providence, RI, 2018, pp. 1–21.
[27]. Alexander Alldridge, Joachim Hilgert, Tilmann Wurzbacher: Superorbits, J. Math. Jussieu 17 (2018), no. 5, 1065-1120. DOI: 10.1017/S147474801600030X.
[26]. Alexander Alldridge: Fréchet globalisations of Harish-Chandra supermodules, Int. Math. Res. Not. IMRN 17 (2017), no. 1, 5182-5232. DOI: 10.1093/imrn/rnw155.
[25]. Alexander Alldridge: Symmetric superspaces: slices, radial parts, and invariant functions, Representation theory—current trends and perspectives, EMS Ser. Congr. Rep. Eur. Math. Soc., Zürich, 2017, pp. 1-11.
[24]. Alexander Alldridge, Wolfgang Palzer: Non-Euclidean Fourier inversion on super-hyperbolic space, Commun. Math. Phys. 351 (2017), no. 3, 1091-1126. DOI: 10.1007/s00220-016-2804-7.
[23]. Alexander Alldridge: Supergroup actions and Harmonic Analysis, In: M. Schlichenmaier (ed.), Geometric Methods in Physics, XXXIV Workshop 2015 (Bialowieza, June 28-July 4, 2015). Trends in Mathematics. Springer-Verlag, Basel 2016, pp. 81-94. DOI: 10.1007/978-3-319-31756-4_9.
[22]. Alexander Alldridge, Wolfgang Palzer: Asymptotics of spherical superfunctions on rank one Riemannian symmetric superspaces, Documenta Math. 19 (2014), 1317-1366.
[21]. Alexander Alldridge, Sebastian Schmittner: Spherical representations of Lie supergroups, J. Func. Anal. 268 (2015), no. 6, 1403-1453. DOI: 10.1016/j.jfa.2014.11.018.
[20]. Alexander Alldridge, Joachim Hilgert, Tilmann Wurzbacher: Singular superspaces, Math.Z. 278 (2014), no. 1-2, 441-492. DOI: 10.1007/s00209-014-1323-5.
[19]. Alexander Alldridge: I: Harmonic Analysis on Lie Supergroups — An Overview, II: Riesz Superdistributions, In: Reflection Positivity in Representation Theory, Stochastics, and Physics (MFO Workshop, Nov.~30-Dec.~6, 2014). Oberwolfach Reports 55 (2014), 7--10. DOI: 10.4171/OWR/2014/55.
[18]. Alexander Alldridge, Zain Shaikh: Superbosonisation via Riesz superdistributions, Forum of Mathematics, Sigma, vol. 2, 2014, e9 (64 pages). DOI: 10.1017/fms.2014.5.
[17]. Alexander Alldridge, Zain Shaikh: Superbosonisation, Riesz superdistributions, and highest weight modules (extended version), In: M. Gorelik, Papi, P. (eds.), Advances in Lie Superalgebras (Rome, Dec 10-15 2012), Springer INdAM Series, Vol. 7, Springer-Verlag Berlin New York (2014), pp. 1-18.
[16]. Alexander Alldridge: Moderate growth representations of Lie supergroups, In: Representations of Lie Groups and Supergroups (MFO Workshop, March 10--16, 2013). Oberwolfach Reports 13 (2013), 762-765. DOI: 10.4171/OWR/2013/13.
[15]. Alexander Alldridge: A convenient category of supermanifolds. http://arxiv.org/abs/1109.3161v1.
[14]. Alexander Alldridge, Joachim Hilgert, Wolfgang Palzer: Integration on Non-Compact Supermanifolds, J. Geom. Phys. 62 (2012), no. 2, 427-448. DOI: 10.1016/j.geomphys.2011.11.005.
[13]. Alexander Alldridge: The Harish-Chandra isomorphism for reductive symmetric superpairs, Transformation Groups 17 (2012), no. 4, 889-919. DOI: 10.1007/s00031-012-9200-y.
[12]. Alexander Alldridge, Joachim Hilgert, Martin Laubinger: Harmonic analysis on Heisenberg--Clifford Lie supergroups, J. London Math. Soc. 87 (2013), no. 2, 561-585. DOI: 10.1112/jlms/jds058.
[11]. Alexander Alldridge: Convex polytopes and the index of Wiener-Hopf operators, J. Operator Theory 65 (2011), 145-155.
[10]. Alexander Alldridge, Martin Laubinger: Infinite-dimensional supermanifolds over arbitrary base fields, Forum Math. 24 (2012), no. 3, 565-608. DOI: 10.1515/FORM.2011.074.
[9]. Alexander Alldridge, Joachim Hilgert: Invariant Berezin integration on homogeneous supermanifolds, J. Lie Theory 20 (2010) no. 1 65-91.
[8]. Alexander Alldridge: Index theory for Wiener-Hopf operators on convex cones, In: Infinite-Dimensional Harmonic Analysis IV (Tokyo, September 10-14, 2007). World Scientific, Singapore 2009, pp. 1-12.
[7]. Alexander Alldridge, Troels Roussau Johansen: Spectrum and Analytical Indices of the C*-Algebra of Wiener-Hopf Operators, J. Funct. Anal. 249 (2007), no. 2, 425--453. DOI: 10.1016/j.jfa.2007.03.009.
[6]. Alexander Alldridge, Troels Roussau Johansen: An index theorem for Wiener--Hopf operators, Adv. Math. 218 (2008), no. 1, 163--201. DOI: 10.1016/j.aim.2007.11.024.
[5]. Alexander Alldridge, Joachim Hilgert, Martin R. Zirnbauer: Chevalley's restriction theorem for reductive symmetric superpairs, J. Algebra 323 (2010) no. 4 1159-1185. DOI: 10.1016/j.jalgebra.2009.11.014.
[4]. Alexander Alldridge: Boundary orbit strata and faces of invariant cones and complex Olshanskii semigroups, Trans. Amer. Math. Soc. 363 (2011), 3799-3828. DOI: 10.1090/S0002-9947-2011-05309-2.
[3]. Alexander Alldridge and Jeffrey Giansiracusa: Functoriality for twisted K-theory of stacks, Oberwolfach Reports 3 (2006), no. 4, 2796-2800.
[2]. Alexander Alldridge: Index theory for Wiener-Hopf operators on convex cones, In: Quantization and Analysis on Symmetric Spaces (Vienna, Sep 22-23, Oct 12, 2005). ESI Reports 1793 (2005), 4-16. DOI: 10.1142/6936.
[1]. Alexander Alldridge and Harald Upmeier: Toeplitz operators on the Hardy space over $\mathrm{SL}(2,\mathbb R)$: Irreducibility and representations, In: Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups (Bedlewo, 2000). Banach Center Publ. 55 (2002), 173-209.