त्वरित संपर्क
आशीष मंडल
PhD (ISI Kolkata)
Associate Professor, Department of Mathematics and Statistics
शोध करना दिलचस्पी
Algebraic Topology, Deformation theory of algebraic structures, Operads and related fields
FB 523
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur- 208016
India
Research Area
Mathematics : Topology and Geometry
विशेषज्ञता
Algebraic Topology, Deformation theory of algebraic structures, Operads and related fields
शिक्षा
PhD, Mathematics, 2008, Indian Statistical Institute, Kolkata.
Versal deformations of Leibniz algebras
Prof. Goutam Mukherjee
M.Sc in in Pure Mathematics, 2002, University of Calcutta.
B. Sc. in Mathematics, 2000, Ramakrishna Mission Residential College, Narendrapur.
शिक्षण क्षेत्र
Algebra
Geometry
Topology
व्यावसायिक जुड़ाव
2013-2020:
Assistant Professor
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur, India
2012- 2013:
Visiting Scientist
Statistics and Mathematics Unit
Indian Statistical Institute, Kolkata, India
2010- 2012:
Postdoctoral researcher
Mathematics Research Unit
University of Luxembourg, Luxembourg
2009- 2010:
Visiting faculty
School of Mathematical Sciences
National Institute of Science Education and Research (NISER)
Bhubaneswar, Orissa, India
2009:
Research Associate under C.S.I.R. fellowship
Statistics and Mathematics Unit
Indian Statistical Institute, Kolkata India
चयनित प्रकाशन
Ashis Mandal and Satyendra Kumar Mishra: Hom-Gerstenhaber algebras and hom-Lie algebroids, Journal of Geometry and Physics, 133: 287-- 302, 2018.
Ashis Mandal and Satyendra Kumar Mishra: Hom-Lie-Rinehart algebras, Communications in Algebra, 46, no.9, 3722 -- 3744, 2018
Ashis Mandal: On Exact Courant Algebras, Communications in Algebra, 44, no. 5, 2058 --2066, 2016.
Alice Fialowski, Louis Magnin and Ashis Mandal: About Leibniz cohomology and deformations of Lie algebras, Journal of Algebra, 383: 63-77, 2013.
David Khudaverdyan, Ashis Mandal and Norbert Poncin: Higher categoried algebras versus bounded homotopy algebras, Theory and Applications of Categories, 25(10): 251{275, 2011
Alice Fialowski, Ashis Mandal and Goutam Mukherjee: Versal deformations of Leibniz algebras, Journal of K-Theory, 3(2): 327-- 358, 2009.
Alice Fialowski and Ashis Mandal: Leibniz algebra deformations of a Lie algebra, Journal of Mathematical Physics, 49, 093511, 2008.
Ashis Mandal: Deformation of Leibniz algebra morphisms, Homology, Homotopy and Applications, 9 (1): 439-- 450, 2007.
पुरस्कार एवं फैलोशिप
IFCPAR/CEFIPRA - a joint collaboration project grant in 2020.
MATRICS -Research grant for three years by SERB, DST in 2019.
AFR postdoctoral fellowship grant PDR-09062 in 2010.
N.B.H.M. Postdoctoral Fellowships in Mathematics in 2009.
C.S.I.R. Research Associateship in Mathematical Sciences in 2009.
Junior Research Fellowship in Mathematics of Indian Statistical Institute in 2003
Joint C.S.I.R-U.G.C. Junior Research Fellowship (JRF) in Mathematical Sciences and Eligibility for Lectureship in 2002.
सम्मेलन प्रस्तुतियाँ
A short survey of Hom-Lie-Rinehart algebras: Algebra and Deformations, Université de Haute-Alsace, Mulhouse, 18 - 21 June 2024, In honor of Professor Abdenacer Makhlouf for his 60th birthday.
Algebraic structures in the crossroads of Mathematics: Department of Mathematics, Ramakrishna Mission Residential College Narendrapur, August 28, 2020.
Lie algebroids over algebraic spaces: Recent Advances in Mathematics and its Applications (RAMA-
2020), February 06 - 07, Department of Pure mathematics, University of Calcutta, 2020.
A series of lectures on general Topology, Annual Foundational School on Algebra, Analysis and Topology at IIT Kanpur May 27 to June 2, 2018.
Covering spaces and CW- complexes:, AFS II, Indian Institute of Technology Kanpur, May, 2013.
पाठ्येतर गतिविधियां
Reviewer for Mathscinet (AMS) and referee for some of the Mathematics journals.
कीवर्ड
Lie algebroids over algebraic spaces, Hom-algebraic structures, Cohomology and Deformation theory of algebraic structures
अनुसंधान समूह
Lie algebroids over algebraic spaces: Ashis Mandal and Abhishek Sarkar
Higher structures: Ashis Mandal and Apurba Das
Quadratic Lie and Leibniz algebras: Alice Fialowski and Ashis Mandal
Hom-Algebraic structures: Ashis Mandal and Satyendra Kumar Mishra
पेशेवर अनुभव
April 2012 -- April 2013: Visiting Scientist; Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata, India.
March 2010 -- March 2012: Postdoctoral researcher, Mathematics Research Unit, University of Luxembourg, Luxembourg.
July 2009 -- February 2010: Visiting faculty; School of Mathematical Sciences, National Institute of Science Education and Research, (N.I.S.E.R) Bhubaneswar, Orissa, India.
April 2009 -- July 2009: Research Associate under C.S.I.R. fellowship; Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata India.
January 2009 -- March 2009: Visiting Scientist; Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata, India.
यूजी/पीजी पाठ्यक्रम विकसित
MTH 618A- Complex manifolds and Kahler geometry
MTH 675A- Geometry of Differential forms
MTH 761A - Vector bundles and Characteristic classes
MTH 739 - Topics in Lie Groups and Lie Algebras
अन्य शैक्षणिक गतिविधियाँ
MHRD SCHEME GIAN Courses:
Project No. MHRD /MATH/2017271;
Differential Geometry and PDEs
Foreign Faculty : Prof. Luca Vitagliano, Italy.
Duration : 04-12-2017 to 08-12-2017.
MHRD SCHEME GIAN Courses:
Project No. MHRD /MATH/2017270:
Deformation Theory of algebraic structures and Twisted algebraic
structures, Foreign Faculty : Prof. Abdenacer Makhlouf, France.
Duration : 23-10-2017 to 03-11-2017.
पीएचडी पर्यवेक्षण
Dr. Abhishek Sarkar, 2023
On Lie algebroids over algebraic spaces
Dr. Satyendra Kumar Mishra, 2019
Hom-Lie -Rinehart algebras