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§
Employment
Oct 2012 - present |
Assistant Professor, Department of Mathematics, I.I.T Bombay |
Aug 2009 -
August 2012
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Research
Assistant Professor, Department of Mathematics, University of
Nebraska-Lincoln
|
June 2009 - July 2009
|
Lecturer, Department
of Mathematics, University of
Kansas
|
Aug. 2002 - May 2009
|
Graduate Research/Teaching
Assistant, Department
of Mathematics, University of
Kansas
|
Aug. 2001 - July 2002
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Research Scholar,
School of Mathematics, TIFR, Mumbai. |
§
Education
July 2009
|
Ph.D., Department of
Mathematics, University of Kansas
Thesis Advisor: Prof. Craig
Huneke.
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June 2001
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M.Sc., Department of
Mathematics, IIT Bombay,
Mumbai.
Project Advisor: Prof. J.K.Verma.
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June 1999
|
B.Sc., H.P.T. Arts and
R.Y.K. Science College, Nasik.
|
§ Research
Interests: Commutative Algebra,
Homological Algebra.
§
Publications
6.
Homological and Connectedness Properties
of Fibre Products (with E. Celikbas and Z.
Yang)
|
Work in
Progress |
5. Linking
Constructions of Gorenstein Rings
|
Work in
Progress
|
4. Connected Sums of Local Gorenstein
Rings (Online
Version)
(with L. L. Avramov and
W. F. Moore)
|
J. Reine Angew. Math. (Crelle J.), to
appear. |
3.
Three-Standardness of the Maximal Ideal (Online
Version)
(with C. Huneke) |
Journal of Pure and Applied Algebra, vol.
215, no. 11, (2011)
2674-2683. |
2. Computing Gorenstein
Colength
(Online
Version)
|
Journal of Commutative Algebra, vol. 1,
no. 3, (2009) 343-359. |
1. The
Gorenstein Colength of an Artinian Local
Ring
(Online
Version) |
Journal of Algebra, 320 (2008) 3438–3446.
|
§
Invited
Talks
- Algebra
Seminar, Department of Mathematics, Purdue University,
West Lafayette, July 2012.
- AMS Spring
Central Sectional Meeting, University
of Kansas, Lawrence, March 2012.
- Algebra
Seminar, Department of Mathematics,
University of Missouri, Columbia, October 2011.
- Mathematics
Seminar, Department of Mathematics, IIT Madras,
July 2010.
- Algebra
Seminar, Department of Mathematics,
University of Kansas, April 2010.
- AMS Spring
Western Sectional Meeting, University
of New Mexico, Albuquerque, April 2010.
- Colloquium,
Department of Mathematics, University of
Nebraska-Lincoln, March 2010.
- KUMUNU -
2009, University of Nebraska-Lincoln,
September 2009.
- AMS Spring
Central Sectional Meeting, University of
Illinois at Urbana-Champaign, March 2009.
- Algebra
Seminar, Department of Mathematics, Indian
Institute of Science, Bangalore, June 2008.
- Mathematics Seminar, Department
of Mathematics, IIT Madras, June 2008.
- Graduate
Student Seminar, Department of
Mathematics, Indian Institute of Science,
Bangalore, June 2008.
- GSU-USC Joint Seminar in Commutative
Algebra, Georgia
State University, Atlanta, April 2008.
- AMS Joint
Mathematics Meetings, San Diego,
January 2008.
- Commutative
Algebra Seminar, Department of
Mathematics, University of Nebraska-Lincoln,
October 2007.
- AMS Fall
Eastern Sectional Meeting, Rutgers
University, New Brunswick, October 2007.
- GSU-USC Joint Seminar in Commutative
Algebra, Georgia State University,
Atlanta, March 2007.
- Algebra Seminar, Department of
Mathematics, IIT Bombay, January 2007.
- AMS Fall Western Sectional Meeting, University of Utah,
Salt Lake City, October 2006.
- Graduate Student Research Conference On
Algebra And Representation Theory, Kansas State
University, Manhattan, May 2006.
- Algebra Seminar, Department of
Mathematics, IIT Bombay, July 2003.
§
Teaching
Experience
- Research Assistant Professor (Fall 2009 -
present): Department of Mathematics, University
of Nebraska-Lincoln.
- Currently teaching: Math
in the City (an interdisciplinary course
involving a hands-on learning experience using
mathematical modeling to understand real-world
problems).
- Past Courses: Math 918 (Advanced Topics in
Commutative Algebra), Math
221 (Differential Equations), Math
208 (Vector Calculus), Math
104 (Calculus - 1).
- Lecturer (Summer 2009)/Graduate Teaching
Asstistant (Fall 2002 - Spring 2008): Department
of Mathematics, University of Kansas.
- Courses taught at the University of Kansas:
- Coordinated
Courses: Math 115 (Applied Calculus
- I), Math 122 (Calculus - II for
Engineers).
- Discussion
Section: Math 123 (Vector Calculus
and Linear Algebra).
- Independent
Section: Math 116 (Applied Calculus
- II), Math 223 (Vector Calculus).
- Resource Person (July 2005, 1 week): Advanced
Instructional School in Commutative Algebra and
Algebraic Geometry, I.I.T. Bombay, India.
- Other experience:
- Ph.D.
Thesis Committee Member: Zheng Yang
- Undergraduate
Student Advising: Kamara Wright (2011-12).
- Have been the instructor for a Reading
Course in Topics
in Commutative Algebra for 3rd and
4th year PhD students in Spring 2010, Fall
2010 and Summer 2011.
- Gave a series of talks on Topics in
Commutative Algebra: Linkage from
September 2008 to March 2009 at KU.
- Conducted help sessions for a graduate
course in Linear
Algebra in Fall 2008 at KU.
§
Service,
Outreach and Other Professional Activities
- Have refereed papers for Communications in
Algebra and Journal of Pure and Applied Algebra.
- Member of the Undergraduate Activites Committee,
Math Department, UNL in 2011 - 12.
- Co-organizer, Special Session on Local Commutative
Algebra, AMS Fall Central Section
Meeting in Lincoln, NE, October 2011.
- Organizer of Compact CARS, a local
mini-conference for students and postdocs,
Mathematics Department, UNL in April 2011.
- Co-organiser of the Commutative Algebra Reading Seminar
(CARS) for students and postdocs,
Mathematics Department, UNL in Fall 2009 -
Spring 2011.
- Member of the UNL Postdoc Advisory Council (PAC),
2009-10.
- Served as the student member on the Lower Divisions
Committee, Mathematics Department, KU
in 2005 - 06.
- Served as the vice-president of the Graduate Students
Organization, Math Department, KU from
May 2003 to April 2005.
- Have given the following talks mainly aimed at
graduate and/or undergraduate students:
- Visualizing
Mathematics,
Departments of Mathematics, Jyoti
Nivas College, Mahaveer
Jain College and St. Joseph's
College, Bangalore, June 2010.
- Tales of a
Local Algebraist, Graduate Students
Colloquium, Math Department, KU, Nov 2008.
- Artinian
and Gorenstein Rings: A Different(ial) Point
of View, Graduate Student Seminar,
IISc Bangalore, June 2008.
- Calculus:
Applications to Business, Department
of Mathematics and Statistics, BYK College of
Commerce, Nasik, July 2005.
- Brouwer's
Fixed Point Theorem, Graduate
Students Colloquium, Math Department, KU,
February 2005.
- Calculus:
A Geometric Approach, Department of
Mathematics, HPT Arts and RYK Science College,
Nasik, July 2003.
- The
Fundamental Group in Algebraic Topology,
Graduate Students Colloquium, Math Department,
KU, April 2003.
- Have been involved in setting the paper for
the 22nd and the 23rd Mathematics Olympiad
conducted by the students of the mathematics
department, IIT Bombay in January 2000 and 2001.
- Was a member of the organising committee of a
Mathematics Exhibition conducted at RYK Science
College, Nasik in March 1999, the aim of which
was to promote mathematics among school
students.
- As an active member of the Rotaract
Club of Nasik Airport, was the project
co-ordinator for a series of mathematics
workshops conducted for high school students.
§
Scholarships,
Awards and Other Academic Achievements
- Research Assistantship: Spring 2006, Spring
and Fall 2007, Summer and Fall 2008 with Prof.
Craig Huneke, Department of Mathematics,
University of Kansas.
- Finalist: Florence
Black
Teaching Award (for GTAs in the Math
department at KU) for 4 years, 2005-2008.
- Invited to join the Honor Society of Phi Kappa Phi,
Fall 2007.
- Walker-Mitchell Scholarship, Math
Department, University of Kansas, Summer 2007.
- John Bunce Memorial Award, Math
Department, University of Kansas in 2006.
- U. G. Mitchell Honor Scholarship,
Math Department, University of Kansas, Summers
2005 & 2006.
- NBHM MA/MSc Scholarships, from July
1999 to June 2001.
- Institute Silver Medal for the best
performance in M.Sc. Mathematics, IIT Bombay
(2001).
- Gold Medalist in the B.Sc.
examinations, University
of Pune, April 1999.
§
Conferences
Attended
- KUMUNU -
2011, University of Nebraska-Lincoln,
April 2011.
- Southwest
Local Algebra Meeting, New Mexico State
University, Las Cruces, March 2011.
- Homotopy
Theory and its Applications, University
of Nebraska-Lincoln, April 2009.
- 2nd
Bluegrass Algebra Conference, University of
Kentucky, Lexington, March 2009.
- GSU-USC Joint Seminar in Commutative
Algebra, Georgia State University,
Atlanta, February 2009.
- Commutative
Algebra and its Interactions: A conference in
honor of Mel Hochster, University of
Michigan, Ann Arbor, August 2008.
- KUMUNU
- 8 & 9, University of
Nebraska-Lincoln, September 2007-08.
- KUMUNU - Algebra Day 4 - 7, University
of Kansas, Lawrence, 2002-04, 2006.
- Conference in Honour of Paul Roberts,
Snowbird, Utah, May 2006.
- MAGIC05, University
of Notre Dame, October 2005.
- Commutative Algebra Conference in Honour of
Phillip Griffith, University of Illinois
at Urbana-Champaign, September 2005.
- Weigandfest, University of
Nebraska-Lincoln, May 2005.
- Recent Developments in Tight Closure,
Arkansas Spring Lecture Series, University of
Arkansas, April 2005.
- Bluegrass Algebra Conference and the
Hayden-Howard lecture, University of
Kentucky, Lexington, April 2003.
- Commutative Algebra: Interactions with
Homological Algebra and Representation Theory,
MSRI,
Berkeley, Feb 2003.
§
Summer
Programmes, Winter Schools and Workshops
Participated in
- Computational and Combinatorial
Commutative Algebra, Fields
Institute, Toronto, July 2006.
- Valuation Theory and Integral Closures,
University of
Ottawa, July 2006.
- Local Cohomology and its Interactions
with Algebra, Geometry and Analysis,
Snowbird, Utah, June 2005.
- Interactions Between Homotopy Theory and
Commutative Algebra, University of
Chicago, July-August 2004.
- Mini-Course on Classical Problems in
Commutative Algebra, University of Utah,
Salt Lake City, June 2004.
- Workshop in Commutative Algerba and
Combinatorics, University of Pune,
India, July 2003.
- VSRP programme, School of Mathematics,
TIFR, Mumbai, Summers 2000 & 2001.
- Winter School in Cohomological Methods
in Commutative Algebra, HBCSE,
Mumbai, Dec 2000.
- Winter schools at HRI,
Allahabad, Follow-up to the MTTS programme, Dec
1999 and 2000.
- All three levels of the summer workshop
MT&TS Programme, Summers of 1998 (in IIT
Madras), 1999 and 2000 (in R.I.E. Mysore).
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