Priv.-Doz. Dr.

Anda Degeratu

Akademische Wissenschaftlerin
Institut für Geometrie und Topologie
Lehrstuhl für Differentialgeometrie

Kontakt

+49 711 685-65303

Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Raum: 7.344

Sprechstunde

Derzeit findet keine Sprechstunde statt. Frau Dr. Degeratu ist jedoch per Mail erreichbar.

Raumplan der IGT Büros im 7. Stock, Pfaffenwaldring 57

Ankündigung Vorlesung Geometry of Black Holes SoSe 2020

Fachgebiet

Geometry from Physics, Mathematics from/for Theoretical Neuroscience

  • Differential Geometry
  • Complex Geometry
  • Partial Differential Equations
  • Gauge Theory
  • Mathematical Physics
  • Mathematical Biology

Papers and Preprints:

  • R. Conlon, A. Degeratu, F. Rochon: Quasi-asymptotically conical Calabi-Yau manifolds, arXiv preprint 2016.
  • K. Morrison, A. Degeratu, V. Itskov, C. Curto: Diversity of emergent dynamics in competitive threshold-linear networks: a preliminary report, arXiv preprint 2016.
  • A. Degeratu, T. Walpuski: Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three, SIGMA 12 (2016), 017, 23 pages; doi:10.3842/SIGMA.2016.017.
  • A. Degeratu, R. Mazzeo: Fredholm theory for elliptic operators on quasi-asymptotically conical spaces, arXiv preprint 2014.
  • C. Curto, A. Degeratu, V. Itskov: Encoding binary patterns of neural activity in networks of threshold-linear neurons, Neural Computation, Volume 25 (2013), pp 2858-2903; doi:10.1162/NECO_a_00504, arXiv preprint 2012.
  • A. Degeratu, M. Stern: Witten spinors on nonspin manifolds, Communications in Mathematical Physics, Volume 324, Issue 2 (2013), pp 301-350; doi:10.1007/s00220-013-1804-0, arXiv preprint 2011.
  • C. Curto, A. Degeratu, V. Itskov: Flexible memory networks, Bulletin of Mathematical Biology,Volume 74 (2012), pp 590-614; doi:10.1007/s11538-011-9678-9, arXiv preprint 2010, SfN Poster.
  • A. Degeratu, K. Wendland: Friendly giant meets pointlike instantons? On a new conjecture by John McKay, in "Moonshine - The First Quarter Century and Beyond, A Workshop on the Moonshine Conjectures and Vertex Algebras", LMS Lecture Notes Series no. 372 (2010), 55-127; Augsburg preprint number 037/2007.
  • A. Degeratu: Eta invariants from Molien series, The Quarterly Journal of Mathematics Volume 60, Number 3 (2009); doi: 10.1093/qmath/han016, [ pdf].
  • A. Degeratu, M. Stern: The Positive Mass Conjecture for non-spin manifolds; math.DG/0412151 (has a sign error in Proposition 6.5).
  • A.Degeratu: Flops of Crepant Resolutions, Turkish J. Math. 28 (2004), no. 1, 23--40 (Proceedings ofthe 10th Gokova Geometry and Topology Conference); [ pdf].
  • A. Degeratu: Geometrical McKay Correspondence for Isolated Singularities; math.DG/0302068.
  • My PhD thesis: Eta Invariants and Molien series for Unimodular groups, MIT 2001; [ pdf].

Posters:

  • K. Morrison, A. Degeratu, V. Itskov, C. Curto: Pattern Generation in Simple Inhibition-Dominated Networks, Cosyne poster (2016).
  • C. Curto, A. Degeratu, V. Itskov: Perturbative memory encoding in recurrent networks, Cosyne Poster (2012).
  • C. Curto, A. Degeratu, V. Itskov: Recurrent vs feedforward networks: differences in neural code topology, Cosyne Poster (2012).
  • C. Curto, A. Degeratu, V. Itskov: Flexible memory networks, Cosyne Poster (2010).

Miscellanea:

  • A.Degeratu: Singular spin structures and Witten spinors; Oberwolfach Report for the Workshop "Stratified spaces: Joining Analysis, Topology and Geometry", December 11 - 17, 2011;
  • "Mini-Workshop: Higher Dimensional Elliptic Fibrations", Abstracts from the mini-workshop held October 3 - 9, 2010; Organized by Gavin Brown, Anda Degeratu and Katrin Wendland, Oberwolfach Reports Vol. 7 (2010), no. 4, 2651 - 2680.
  • A.Degeratu: Fredholm theory on quasi-asymptotically conical manifolds, Oberwolfach Report for the Workshop "Analysis and Geometric Singularities", August 19 - 25, 2007; [ pdf].
  • A.Degeratu: On the positive mass conjecture in higher dimensions, Oberwolfach Report for the Workshop "Mathematical Aspects of General Relativity", January 8 - 14, 2006; [ pdf].
  • A.Degeratu: Geometrical McKay correspondence, Oberwolfach Report for the MiniWorkshop "Finite Groups", May 16 - 22, 2004; [ pdf].
  • A. Degeratu: Crepant resolutions of Calabi-Yau orbifolds, Oberwolfach Report for the MiniWorkshop "Geometry and Duality in String Theory", May 16 - 22 , 2004; [ pdf].
  • A. Degeratu, M. Haskins: Open problems in L^2-cohomology [ pdf]; notes written for the AIM workshop L^2-harmonic forms in geometry and physics.
  • Sommersemester 2020:
    Geometrie für das Lehramt
    Geometry of Black Holes (Ankündigung)
  • Wintersemester 2019/2020:
    Riemannsche Geometrie
    Assistenz: Höhere Mathematik 3 (vertief) für Luft- und Raumfahrt
  • Sommersemester 2019:
    Differentialgeometrie
    Masterseminar Allgemeine Relativitätstheorie
  • Wintersemester 2018/2019:
    Assistenz: Höhere Mathematik 3 (vertief) für Luft- und Raumfahrt
  • Sommersemester 2018:
    Geometrie für das Lehramt
    Geometrie der Skalarkrümmung
  • Wintersemester 2017/2018:
    Geometrische Analysis B
  • Sommersemster 2017:
    Allgemeine Relativitätstheorie
    Assistenz Geometrie
  • Wintersemester 2016/2017
    Assistentin bei der Vorlesung Differentialgeometrie.
    Assistentin bei der Vorlesung Höhere Mathematik 1 für phys-el-mecha-kyb.

 

An der Universität Freiburg:

Bachelorarbeiten

  • Die Schwarzschild-Metrik (2019)

Masterarbeiten

  • Gravitational Waves in the Presence of Cosmological Constant (2019)

Education

  • Ph.D in Mathematics 2001
    Massachusets Institute of Technology (MIT), Cambridge, MA, USA
    Supervisor: Tom Mrowka
  • B.A. in Mathematics 1996
    University of Bucharest, Romania

Positions 

  • since 10/2016: Department of Mathematics, University of Stuttgart, Germany
  • 01/2013-09/2016: Postdoc in the groups of Prof. Dr. Sebastian Goette and Prof. Dr. Katrin Wendland
    Mathematical Institute, University of Freiburg, Germany
  • 10/2011-12/2012: SFB postodc
    SFB/Transregio 71 "Geometric Partial Differential Equations"
    Mathematical Institute, University of Freiburg, Germany
  • 01/2007-09/2011: Junior Scientist
    Max Planck Institute for Gravitational Physics
    (Albert Einstein Institute), Potsdam-Golm, Germany
  • 08/2004-07/2006: Visiting Assistant Professor
    Department of Mathematics, Duke University, USA
  • 08/2003-05/2003: Posdoctoral Fellow in the program "Differential Geometry"
    Mathematical Science Research Institute (MSRI), Berkeley, CA, USA
  • 08/2001-07/2003: Assistant Research Professor
    Department of Mathematics, Duke University, USA
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