Anne-Katrin Gallagher (née  Herbig) 

• 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

• 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

1. Published papers and preprints

• A.-K. Gallagher, On the Poincaré inequality on open sets in R^n, to appear in Computational Methods and Function Theory,  preprint (2023, 21 pgs.)

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

• A.-K. Gallagher, T. Harz, On plurisubharmonic defining functions  for pseudoconvex domains in C^2, preprint (2022, 32 pgs.)

• A.-K. Gallagher, P. Gupta, L. Vivas, On the dimension of Bergman spaces on P^1, Mathematica 1, No. 3, 666-684 (2022, 19 pgs.), preprint 

• 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

2. In preparation

• A.-K. Gallagher, Equivalence between validity of p-Poincaré inequality and finiteness of the p-capacitory inradius.

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

3. 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

2023: Ranking (Listenplatz) 3 for W3 Professorship in Complex Analysis at Bergische Universität Wuppertal, Germany

2023: Research in Teams at Banff International Research Station, with P. Gupta and L. Vivas

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

Upcoming Talks

• Special Session "Geometric Analysis of SCV and PDEs" at the UMI-AMS Joint Meeting  at Università degli Studi di Palermo, 7/25-7/26/2024 

• Conference "Several Complex Variables, Complex Geometry and related PDEs" at the Brin Mathematics Research Center at University of Maryland, 5/13-5/17/2024

Past Talks

2024

• AMS Special Session on Geometric Analysis in Several Complex Variables at the JMM 2024 in San Francisco, 1/5-1/6/2024

2023

• Workshop "Analysis and Geometry in Several Complex Variables", Erwin Schrödinger Institute, Vienna, Nov. '23,  Video 

• AWM Special Session on Celebrating the Mathematical Contributions of the AWM, JMM Boston

• AMS Special Session on PDEs and Complex Variables, JMM Boston

2022 

• Complex Analysis Seminar, University of Vienna (Talk 1, Talk 2)

• Analysis Seminar, Oklahoma State University; 11/3/2022

• 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