Ambar Sengupta
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Most Influential Person Now
Indian-American mathematician
Ambar Sengupta's AcademicInfluence.com Rankings
Ambar Senguptamathematics Degrees
Mathematics
#6591
World Rank
#9104
Historical Rank
Algebraic Geometry
#245
World Rank
#256
Historical Rank
Measure Theory
#3321
World Rank
#3924
Historical Rank

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Mathematics
Ambar Sengupta's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Ambar Sengupta Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ambar Niel Sengupta is an Indian-American mathematician. He is a professor of mathematics at the University of Connecticut. Education and career Ambar Sengupta attended Presidency College, Calcutta and stood first class first in the BSc examination of the University of Calcutta in 1984. He then joined Cornell University, where he obtained an MS and then a PhD under the supervision of Leonard Gross in 1990.
Ambar Sengupta's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Two dimensional Yang-Mills theory via stochastic differential equations (1989) (85)
- Gauge Theory on Compact Surfaces (1997) (74)
- A New Class of White Noise Generalized Functions (1998) (69)
- An assessment of grindability index of coal (2002) (61)
- Finite and Infinite Dimensional Analysis in Honor of Leonard Gross (2003) (47)
- The Segal–Bargmann Transform for Path-Groups☆ (1998) (43)
- A Mathematical Construction of the Non-Abelian Chern-Simons Functional Integral (1997) (43)
- Quantum gauge theory on compact surfaces (1993) (35)
- The Yang-Mills measure for S2 (1992) (34)
- Quantum free Yang–Mills on the plane (2011) (33)
- Traces in two-dimensional QCD: The large-N limit (2007) (31)
- Effect of hydrothermal treatment on caking propensity of coal (1996) (27)
- Yang-Mills on Surfaces with Boundary: Quantum Theory and Symplectic Limit (1997) (25)
- WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS (1999) (24)
- Parallel Transport over Path Spaces (2009) (23)
- The semiclassical limit of the two‐dimensional quantum Yang–Mills model (1994) (18)
- Path space connections and categorical geometry (2012) (17)
- Gauge invariant functions of connections (1994) (16)
- An explicit description of the symplectic structure of moduli spaces of flat connections (1994) (16)
- CDO tranche sensitivities in the Gaussian copula model (2011) (15)
- The volume measure for flat connections as limit of the Yang–Mills measure (2003) (15)
- RIGOROUS FEYNMAN PATH INTEGRALS, WITH APPLICATIONS TO QUANTUM THEORY, GAUGE FIELDS, AND TOPOLOGICAL INVARIANTS (2004) (14)
- The Schwartz Space: Tools for Quantum Mechanics and Infinite Dimensional Analysis (2015) (14)
- A Yang–Mills Inequality for Compact Surfaces (1998) (14)
- The Moduli Space of Yang–Mills Connections Over a Compact Surface (1997) (13)
- Gauge Theory in Two Dimensions: Topological, Geometric and Probabilistic Aspects (2007) (12)
- The Gaussian Radon Transform for Banach Spaces (2012) (12)
- Representing Finite Groups: AS emisimple Introduction (2010) (10)
- THE RADON-GAUSS TRANSFORM (2004) (9)
- A symplectic structure for connections on surfaces with boundary (1996) (9)
- TWISTED ACTIONS OF CATEGORICAL GROUPS (2014) (9)
- Pricing derivatives : the financial concepts underlying the mathematics of pricing derivatives (2005) (9)
- THE SEGAL BARGMANN TRANSFORM FOR TWO-DIMENSIONAL EUCLIDEAN QUANTUM YANG MILLS (1999) (9)
- NEGATIVE FORMS AND PATH SPACE FORMS (2007) (8)
- Representations of S n (2012) (8)
- Sewing Yang–Mills Measures and Moduli Spaces over Compact Surfaces☆ (1998) (8)
- The Gaussian Radon transform as a limit of spherical transforms (2016) (8)
- Representing Finite Groups (2012) (8)
- A support theorem for a Gaussian Radon transform in infinite dimensions (2012) (8)
- The Chern-Simons functional integral as an infinite-dimensional distribution (1997) (8)
- The semiclassical limit forSU(2) andSO(3) gauge theory on the torus (1994) (8)
- CHERN–SIMONS THEORY, HIDA DISTRIBUTIONS, AND STATE MODELS (2003) (7)
- The Yang-Mills measure and symplectic structure over spaces of connections (2001) (7)
- FINITE GEOMETRIES WITH QUBIT OPERATORS (2009) (7)
- The Large‐N Yang‐Mills Field on the plane and free noise (2008) (6)
- A new 2-form for connections on surfaces with boundary (1995) (6)
- The Gaussian limit for high-dimensional spherical means (2019) (6)
- Sewing symplectic volumes for flat connections over compact surfaces (2000) (6)
- Four Chapters on Low-Dimensional Gauge Theories (2015) (6)
- The semiclassical limit for gauge theory onS2 (1992) (6)
- Yang-Mills in two dimensions and Chern-Simons in three (2009) (6)
- The Gaussian Radon Transform in Classical Wiener Space (2014) (6)
- Construction of Categorical Bundles from Local Data (2016) (6)
- Quantum Yang-Mills Theory on Compact Surfaces (1994) (5)
- Temporal correlation of defaults in subprime securitization (2012) (5)
- Nuclear Space Facts, Strange and Plain (2016) (5)
- Monopole charge quantization or why electromagnetism is a U(1)-gauge theory (2004) (5)
- The moduli space of flat SU (2) and SO (3) connections over surfaces (1998) (4)
- WHITE NOISE ANALYSIS: BACKGROUND AND A RECENT APPLICATION (2008) (4)
- An infinite-dimensional integral identity for the Segal-Bargmann transform (2007) (4)
- Double Category Related to Path Space Parallel Transport and Representations of Lie 2 Groups (2014) (4)
- Concepts and Constructs (2012) (4)
- CONNECTIONS OVER TWO-DIMENSIONAL CELL COMPLEXES (2004) (4)
- Complex phase space and Weyl’s commutation relations (2016) (4)
- THE SCHWARTZ SPACE : A BACKGROUND TO WHITE NOISE ANALYSIS (4)
- Twisted-product categorical bundles (2015) (4)
- The Moduli Space of Flat Connections on Oriented Surfaces with Boundary (2002) (4)
- Path Space Forms and Surface Holonomy (2009) (3)
- Polynomials and high-dimensional spheres (2019) (3)
- Connections on decorated path space bundles (2015) (3)
- The Yang-Mills Measure for the Two Sphere. (1990) (2)
- A functional integral applied to topology and algebra (2006) (2)
- Infinite Dimensional Stochastic Analysis: In Honor of Hui-Hsiung Kuo (2008) (2)
- The Gaussian Radon Transform and Machine Learning (2013) (2)
- Configurations of points in sets of positive measure and in Baire sets of second category (1989) (1)
- SYMPLECTIC REDUCTION FOR YANG-MILLS ON A CYLINDER ∗ (2004) (1)
- Identities and inequalities for CDO tranche sensitivities (2013) (1)
- Gauge transformations for categorical bundles (2018) (1)
- SEWING YANG–MILLS MEASURES FOR NON-TRIVIAL BUNDLES (2003) (1)
- Sewing Yang-Mills Measures (0)
- Rotational symmetries in polynomial rings (2021) (0)
- The Segal-Bargmann transform for paths in a compact group (2014) (0)
- Large-$ N $ Limits of Spaces and Structures (2023) (0)
- 1-2019 Limiting Means for Spherical Slices (2019) (0)
- The Segal-Bargmann Transform for Two Dimensional Quantum Yang-Mills (2011) (0)
- Pushforwards and Gauge Transformations for Categorical Connections. (2020) (0)
- Impact of Correlation Fluctuations on Securitized Structures (2011) (0)
- Notes in Introductory Real Analysis (2014) (0)
- Gaussian Inequalities and Tranche Sensitivities (2016) (0)
- The Group Algebra (2012) (0)
- Limiting Means for Spherical Slices (2019) (0)
- PRICING FUNCTIONALS AND PRICING MEASURES (2008) (0)
- Representations of U(N) (2012) (0)
- A Morphism Double Category and Monoidal Structure (2012) (0)
- Preface (2020) (0)
- Chern–Simons Models: Rigorous Results (2006) (0)
- Finite and infinite dimensional analysis in honor of Leonard Gross : AMS Special Session, Analysis on Infinite Dimensional Spaces, January 12-13, 2001, New Orleans, Louisiana (2003) (0)
- More Group Algebra (2012) (0)
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