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
Published papers and preprints
A.-K. Gallagher, Equivalence between validity of p-Poincaré inequality and finiteness of the strict p-capacitory inradius, preprint (2024, 15 pgs.)
A.-K. Gallagher, On the Poincaré inequality on open sets in R^n, appears online 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, Indiana U. Math. J. 73 (2024), no. 4, 1541-1549, preprint
A.-K. Gallagher, T. Harz, On plurisubharmonic defining functions for pseudoconvex domains in C^2, to appear in Ann Scuola Norm-Sci, 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
In preparation
A.-K. Gallagher, A note on the Diederich-Fornaess and Steinness indices for a class of pseudoconvex domains in C^n
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
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
Talks
Upcoming Talks
Conference "Midwest Several Complex Variables", Texas A&M, 5/16-5/18/2025
Past Talks
2025
(coorganizer) AMS Sectional Meeting "Several Complex Variables, Partial Differential Equations and CR Geometry" at the JMM 2025, Seattle, 01/08/2025
2024
Conference "Geometric Methods of Complex Analysis", University of Wuppertal, 10/21-10/25/2024
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
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)
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