Anne-Katrin Gallagher (née Herbig)

Academic Positions

  • 2016-2018: tenure-track Assistant Professor, Department of Mathematics, Oklahoma State University, Stillwater, OK

  • 2015-2016: Post Doc, Department of Mathematics, University of Greifswald, Greifswald, Germany

  • 2013-2015: Designated Associate Professor, Graduate School of Mathematics, Nagoya University, Nagoya, Japan

  • 2011-2013: Senior Post Doc, Principal Investigator, Department of Mathematics, University of Vienna, Vienna, Austria; funded by the Austrian Science Fund

  • 2007-2011: Post Doc, Department of Mathematics, University of Vienna, Vienna, Austria; funded by the Austrian Science Fund

  • 2004-2007: Assistant Professor Post Doc, Department of Mathematics, University of Michigan, Ann Arbor

  • 1999-2004: Graduate Teaching Associate, Department of Mathematics, The Ohio State University, Columbus, OH

Education

  • 2013: Habilitation, Mathematics, University of Vienna, Vienna, Austria

  • 2004: Ph.D., Mathematics, The Ohio State University, Columbus, OH

  • 2000: M.S., Mathematics, The Ohio State University, Columbus, OH

Publications

  1. Published papers

  • A.-K. Gallagher, P. Gupta, L. Vivas, On the dimension of bundle-valued Bergman spaces on compact Riemann surfaces, preprint (2022, 9 pgs.)

  • A.-K. Gallagher, T. Harz, On plurisubharmonic defining functions for pseudoconvex domains in C^2, preprint (2022, 29 pgs.)

  • A.-K. Gallagher, P. Gupta, L. Vivas, On the dimension of Bergman spaces on P^1, to appear in La Matematica, preprint (2021, 19 pgs.)

  • A.-K. Gallagher, P. Gupta, L. Lanzani, L. Vivas, Hardy spaces for a class of singular domains, Math. Z. 299 (2021), no. 3-4, 2171-2197, preprint

  • A.-K. Gallagher, J. Lebl, K. Ramachandran, The closed range property for the dbar-operator on planar domains, J. Geom. Anal., 31 (2021), 1646-1670, preprint

  • A.-K. Gallagher, J. Lebl, K. Ramachandran, Convexity of level lines of Martin functions and applications, Anal. Math. Phys. 9 (2019), no. 1, 443-452, preprint

  • A.-K. Gallagher, T. Harz, G. Herbort, On the dimension of the Bergman space for some unbounded domains, J. Geom. Anal. 27 (2017), no. 2, 1435-1444, preprint

  • A.-K. Herbig, J. D. McNeal, On closed range for dbar, Complex Var. Elliptic Equ. 61 (2016), no. 8, 1073-1089, preprint

  • A.-K. Herbig, J. D. McNeal, E. J. Straube, Duality of spaces of holomorphic functions and smoothing properties of the Bergman projection, Trans. Amer. Math. Soc. 366 (2014), no. 2, 647-665, preprint

  • A.-K. Herbig, A note on a smoothing property of the harmonic Bergman projection, Internat. J. Math. 24 (2013), no. 4, 1350032, 14 pp., preprint

  • A.-K. Herbig, J. D. McNeal, Oka's lemma, convexity, and intermediate positivity conditions, Illinois J. Math. 56 (2012), no. 1, 196-211, preprint

  • A.-K. Herbig, J. D. McNeal, A smoothing property of the Bergman projection, Math. Ann. 354 (2012), no. 2, 427-449, preprint

  • A.-K. Herbig, J. D. McNeal, Convex defining functions for convex domains, J. Geom. Anal. 22 (2012), no. 2, 433-434, preprint

  • P. Duren, A.-K. Herbig, D. Khavinson, Robert Jentzsch - Mathematiker und Poet, Mitteilungen der DMV 16 (2008), no. 4, 233-240

  • J. E. Fornæss, A.-K. Herbig, A note on plurisubharmonic defining functions in C^n, Math. Ann. 342 (2008), no. 4, 749-772, preprint

  • P. Duren, A.-K. Herbig, D. Khavinson, Robert Jentzsch, mathematician and poet, Math. Intelligencer 30 (2008), no. 3, 18-24

  • J. E. Fornæss, A.-K. Herbig, A note on plurisubharmonic defining functions in C^2, Math. Z. 257 (2007), no. 4, 769-781, preprint

  • A.-K. Herbig, A sufficient condition for subellipticity of the dbar-Neumann operator, J. Funct. Anal. 242 (2007), no. 2, 337-362, preprint

  • A.-K. Herbig, J. D. McNeal, Regularity of the Bergman projection on forms and plurisubharmonicity conditions, Math. Ann. 336 (2006), no. 2, 335-359, preprint

  1. In preparation

  • A.-K. Gallagher, The Poincaré-Dirichlet Inequality on open sets in R^n

  • A.-K. Gallagher, A note on the Diederich-Fornaess and Steinness indices for a class of pseudoconvex domains in C^n

  1. Qualifying theses

  • A.-K. Herbig, A sufficient condition for subellipticity of the dbar-Neumann problem on bounded, pseudoconvex domains, Ph.D. thesis (2004), The Ohio State University, Columbus, OH

  • A.-K. Herbig, The twisted dbar-complex - applications and ramifications, Habilitationsschrift (2013), University of Vienna, Vienna, Austria

Fellowships and Awards

2022: Summer Research in Mathematics (SRiM) at the MSRI, with P. Gupta and L. Vivas

2020: RiP programme at the Mathematisches Forschungsinstitut Oberwolfach, with P. Gupta, L. Lanzani, and L. Vivas (Covid-related cancelation)

2016&2017: Dean's Incentive Grant, College of Arts and Science, Oklahoma State University

2014-2015: Grant-in-Aid for Young Scientist, funded by the Japanese Society for Promoting Sciences

2011-2014: Elise Richter Scholarship, funded by the Austrian Science Fund

2005: Junior Research Fellow, The Erwin Schrödinger Institute for Mathematical Physics, Vienna, Austria

2005: Rackham Fellowship for Research, University of Michigan

2003&2004: Special Graduate Associate Fellowship, The Ohio State University

2001: Graduate Teaching Associate Award for Excellence in Teaching, Department of Mathematics, The Ohio State University

1998-1999: Fulbright Fellowship, Graduate Student Fellow at The Ohio State University

Talks

2022

  • Midwest Several Complex Variables, A conference in Honor of Mei-Chi Shaw

  • Seminar on (Hyper)Complex Analysis and Geometry at Politecnico Milano

2021

  • Complex Analysis Seminar, Department of Mathematics, Texas A&M

2020

  • Virtual East-West Several Complex Variables Seminar

  • JMM, AWM Workshop: Women in Several Complex Variables

2019

  • AMS Sectional Meeting: Several Complex Variables, University of Hawaii

  • Complex Analysis Seminar, Department of Mathematics, University of Wuppertal

2018

  • Conference in Complex Geometry and Several Complex Variables, Notre Dame University

2017

  • Workshop on the dbar-operator, NTNU Trondheim

  • AWM Symposium at UCLA

2016

  • Analysis Seminar, Department of Mathematics, Oklahoma State University

  • Geometry Seminar, University of California at Riverside

2015

  • Seminar for Analysis and Theoretical Physics, Department of Mathematics, University of Hannover

  • Complex Analysis Seminar, Department of Mathematics, University of Wuppertal

  • Analysis Seminar, Department of Mathematics, University of Greifswald

  • Workshop: Analytical aspects of the dbar-equation, Nagoya University

  • Analysis Seminar, Colloquium, Oklahoma State University

2014

  • Workshop: Topics in Geometric Analysis on the Bergman kernel, RIMS, Kyoto University

  • Young Mathematician Workshop on SCV, Pohang University of Science and Technology

  • Hayama Symposium on Complex Analysis in Several Variables XVII

  • Workshop: The Cauchy-Riemann equations in several variables, American Institute of Mathematics

  • Complex Analysis Symposium, Kyushu University

2013

  • Several Complex Variables Seminar, Department of Mathematics, Tokyo University

  • Habilitation Colloquium, Department of Mathematics, University of Vienna

  • Department of Mathematics, University of Adelaide

2012

  • National Norwegian SCV meeting, NTNU Trondheim

  • Analysis Seminar, Department of Mathematics, NTNU Trondheim

  • Analysis Seminar, Department of Mathematics, University of Illinois, Urbana-Champaign

  • Several Complex Variables Seminar, Department of Mathematics, University of Michigan

  • Conference Several Complex Variables, University of Ljubljana

  • Krakow-Vienna workshop: Pluripotential Theory and Several Complex Variables, University of Vienna

  • National Norwegian SCV meeting, University of Oslo

2011

  • Workshop in SCV, University of Amsterdam

  • Minisymposium of the OeMG-Conference - CSASC, University of Graz

  • Midwest SCV Conference, Washington University in St. Louis

  • Complex Analysis Seminar, Department of Mathematics, University of Ljubljana

2010

  • Analysis Seminar, Department of Mathematics, Humboldt University of Berlin

  • IWOTA 2010, Technical University Berlin

  • CR Geometry and PDE's IV, CIRM Trento

  • Nordan Conference

2009

  • Workshop: The dbar-Neumann problem, Analysis, Geometry and Potential Theory, Erwin Schroedinger Institute for Mathematical Physics

  • 17. OeMG Congress

  • Complex Analysis Seminar, Department of Mathematics, University of Helsinki

2008

  • Summer School: Analytic and Algebraic Geometry, Common Problems - Different Methods, IAS, Park City Mathematics Institute

  • Spring Program: Complex Analysis of Several Variables, Institute Mittag-Leffler

  • Seminar in SCV and Complex Dynamics, Department of Mathematics, University of Michigan

  • RTG Working Seminar in SCV and Complex Dynamics, Department of Mathematics, University of Michigan

2007

  • Mathematical Colloquium, University of Vienna

  • Banach Center Conference: Complex Function Theory and Geometry

  • Calderon-Zygmund Analysis Seminar, University of Chicago

  • AMS Sectional Meeting, Miami University

2006

  • AMS Sectional Meeting, University of Arkansas

  • AMS Sectional Meeting, University of Notre Dame

2005

  • Several Complex Variables Seminar, Department of Mathematics, University of Vienna,

  • Workshop: Complex Analysis, Operator Theory, and Mathematical Physics, Erwin Schroedinger Institute for Mathematical Physics

  • Complex Analysis and Geometry Conference, CIRM Luminy

  • Several Complex Variables Seminar, Department of Mathematics, Purdue University