Varghese Mathai - Revision history

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	\| thesis_year = 1986		\| thesis_year = 1986
	\| doctoral_advisor = [[Daniel G. Quillen]]		\| doctoral_advisor = [[Daniel G. Quillen]]
	\| doctoral_students = ~~Hao Guo <br/> Stuart Yates~~		\| doctoral_students =
	\| known_for = [[Mathai-Quillen formalism]]<br>[[T-duality]] in a background flux<br>Fractional and Projective [[Index theory]]<br>		\| known_for = [[Mathai-Quillen formalism]]<br>[[T-duality]] in a background flux<br>Fractional and Projective [[Index theory]]<br>
	\| prizes = [[Australian Mathematical Society Medal]]<ref>{{cite web\| url=http://oldsite.austms.org.au/AMSInfo/Medal/2000winners.html\|title=Christine O'Keefe and Mathai Varghese share the Australian Mathematical Society Medal\|publisher=Australian Mathematical Society Medal}}</ref> (2000)<br/>		\| prizes = [[Australian Mathematical Society Medal]]<ref>{{cite web\| url=http://oldsite.austms.org.au/AMSInfo/Medal/2000winners.html\|title=Christine O'Keefe and Mathai Varghese share the Australian Mathematical Society Medal\|publisher=Australian Mathematical Society Medal}}</ref> (2000)<br/>
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	[[Australian Research Council\|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web\|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese\|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref> (2018-2023) <br/>		[[Australian Research Council\|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web\|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese\|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref> (2018-2023) <br/>
	[[Hannan Medal]]<ref>{{cite web\|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal\|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> (2021)<br>		[[Hannan Medal]]<ref>{{cite web\|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal\|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> (2021)<br>
			[[George Szekeres Medal]]<ref>{{cite web\|url=https://austms.org.au/awards-grants/awards/the-george-szekeres-medal/\|title=2021 George Szekeres medal: Professor Mathai Varghese}}}</ref> (2021)<br>
	}}		}}

	'''Mathai Varghese''' is a mathematician at the [[University of Adelaide]]. His first most influential contribution is the [[Mathai–Quillen formalism]],<ref>Mathai, Varghese and Quillen, Daniel. (1986) "Superconnections, Thom classes and equivariant differential forms". ''Topology'' '''25''' (1), 85–110.</ref> which he formulated together with [[Daniel Quillen]], and which has since found applications in [[Atiyah-Singer index theorem\|index theory]] and [[topological quantum field theory]]. He was appointed a full professor in 2006. He was appointed Director of the [[Institute for Geometry and its Applications]] in 2009. In 2011, he was elected a [[Fellow of the Australian Academy of Science]].<ref>{{cite web\|url=http://www.science.org.au/fellows/elected/2011.html\|title=Fellows elected in 2011\|publisher=Australian Academy of Science\|access-date=15 March 2012\|archive-url=https://web.archive.org/web/20120527151019/http://science.org.au/fellows/elected/2011.html\|archive-date=27 May 2012\|url-status=dead\|df=dmy-all}}</ref> In 2013, he was appointed the (Sir Thomas) [[Elder Professor of Mathematics]] at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an [[Australian Research Council\|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web\|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese\|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref>		'''Mathai Varghese''' is a mathematician at the [[University of Adelaide]]. His first most influential contribution is the [[Mathai–Quillen formalism]],<ref> Mathai, Varghese and Quillen, Daniel. (1986) "Superconnections, Thom classes and equivariant differential forms". ''Topology'' '''25''' (1), 85–110.</ref> which he formulated together with [[Daniel Quillen]], and which has since found applications in [[Atiyah-Singer index theorem\|index theory]] and [[topological quantum field theory]]. He was appointed a full professor in 2006. He was appointed Director of the [[Institute for Geometry and its Applications]] in 2009. In 2011, he was elected a [[Fellow of the Australian Academy of Science]].<ref>{{cite web\|url=http://www.science.org.au/fellows/elected/2011.html\|title=Fellows elected in 2011\|publisher=Australian Academy of Science\|access-date=15 March 2012\|archive-url=https://web.archive.org/web/20120527151019/http://science.org.au/fellows/elected/2011.html\|archive-date=27 May 2012\|url-status=dead\|df=dmy-all}}</ref> In 2013, he was appointed the (Sir Thomas) [[Elder Professor of Mathematics]] at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an [[Australian Research Council\|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web\|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese\|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref>
	In 2021, he was awarded the prestigious [[Hannan Medal]]<ref>{{cite web\|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal\|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics.		In 2021, he was awarded the prestigious [[Hannan Medal]]<ref>{{cite web\|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal\|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics. In 2021, he was also awarded the prestigious [[George Szekeres Medal]]<ref>{{cite web\|url=https://austms.org.au/awards-grants/awards/the-george-szekeres-medal/\|title=2021 George Szekeres medal: Professor Mathai Varghese}}}</ref>
			which is the Australian Mathematical Society’s most prestigious medal, recognising research achievement and an outstanding record of promoting and supporting the discipline.

	==Biography==		==Biography==
	Mathai received a [[Bachelor of Arts\|BA]] at the [[Illinois Institute of Technology]]. He then proceeded to the [[Massachusetts Institute of Technology]], where he was awarded a [[doctorate]] under the supervision of [[Daniel Quillen]], a [[Fields Medal]]list.		Mr Mathai studied at Bishop Cotton Boy's School, Bangalore. Mathai received a [[Bachelor of Arts\|BA]] at the [[Illinois Institute of Technology]]. He then proceeded to the [[Massachusetts Institute of Technology]], where he was awarded a [[doctorate]] under the supervision of [[Daniel Quillen]], a [[Fields Medal]]list.

	Mathai's work is in the area of [[geometric analysis]]. His research interests are in <math>L^2</math> analysis, index theory, and [[noncommutative geometry]]. He currently works on mathematical problems that have their roots in physics, for example, topological field theories, [[fractional quantum Hall effect]], and [[D-branes]] in the presence of [[B-fields]]. The main focus of his research is on the application of noncommutative geometry and index theory to mathematical physics, with particular emphasis on [[string theory]]. His current work on index theory is ongoing joint work with [[Richard Burt Melrose\|Richard Melrose]] and [[Isadore Singer]], on the fractional analytic index and on the index theorem for projective families of elliptic operators.<ref>{{cite journal \|author1= Mathai, Varghese \|author2= Melrose, Richard B. \|author3= Singer, Isadore M. \|year=2006 \|title= Fractional Analytic Index \|journal= Journal of Differential Geometry \|volume=74 \|number=2 \|pages= 265–292 \|doi=10.4310/jdg/1175266205\|doi-access= free }}</ref> His current work on string theory is ongoing joint work with Peter Bouwknegt, Jarah Evslin, Keith Hannabuss and [[Jonathan Rosenberg (mathematician)\|Jonathan Rosenberg]], on T-duality in the presence of background flux.<ref>Bouwknegt, Peter, Evslin, Jarah and Mathai, Varghese. (2004) "T-duality: Topology Change from H-flux". ''Communications in Mathematical Physics'' '''249''' (2), 383–415.</ref>		Mathai's work is in the area of [[geometric analysis]]. His research interests are in <math>L^2</math> analysis, index theory, and [[noncommutative geometry]]. He currently works on mathematical problems that have their roots in physics, for example, topological field theories, [[fractional quantum Hall effect]], and [[D-branes]] in the presence of [[B-fields]]. The main focus of his research is on the application of noncommutative geometry and index theory to mathematical physics, with particular emphasis on [[string theory]]. His current work on index theory is ongoing joint work with [[Richard Burt Melrose\|Richard Melrose]] and [[Isadore Singer]], on the fractional analytic index and on the index theorem for projective families of elliptic operators.<ref>{{cite journal \|author1= Mathai, Varghese \|author2= Melrose, Richard B. \|author3= Singer, Isadore M. \|year=2006 \|title= Fractional Analytic Index \|journal= Journal of Differential Geometry \|volume=74 \|number=2 \|pages= 265–292 \| arxiv=math/0402329\| doi=10.4310/jdg/1175266205\|doi-access= free }}</ref> His current work on string theory is ongoing joint work with Peter Bouwknegt, Jarah Evslin, Keith Hannabuss and [[Jonathan Rosenberg (mathematician)\|Jonathan Rosenberg]], on T-duality in the presence of background flux.<ref>Bouwknegt, Peter, Evslin, Jarah and Mathai, Varghese. (2004) "T-duality: Topology Change from H-flux". ''Communications in Mathematical Physics'' '''249''' (2), 383–415.</ref>

	The Mathai–Quillen formalism appeared in ''[[Topology (journal)\|Topology]]'', shortly after Mathai completed his Ph.D. Using the [[superconnection]] formalism of Quillen, they obtained a refinement of the [[~~Riemann-Roch~~ theorem\|Riemann–Roch formula]], which links together the [[Thom space\|Thom classes]] in [[K-theory]] and [[cohomology]], as an equality on the level of differential forms. This has an interpretation in physics as the computation of the classical and quantum (super) [[partition function (statistical mechanics)\|partition functions]] for the fermionic analogue of a [[harmonic oscillator]] with source term. In particular, they obtained a nice [[Gaussian function\|Gaussian shape]] representative of the [[Thom class]] in cohomology, which has a peak along the zero section. Its universal representative is obtained using the machinery of [[equivariant differential forms]].{{cn\|date=April 2018}}		The Mathai–Quillen formalism appeared in ''[[Topology (journal)\|Topology]]'', shortly after Mathai completed his Ph.D. Using the [[superconnection]] formalism of Quillen, they obtained a refinement of the [[Riemann–Roch theorem\|Riemann–Roch formula]], which links together the [[Thom space\|Thom classes]] in [[K-theory]] and [[cohomology]], as an equality on the level of differential forms. This has an interpretation in physics as the computation of the classical and quantum (super) [[partition function (statistical mechanics)\|partition functions]] for the fermionic analogue of a [[harmonic oscillator]] with source term. In particular, they obtained a nice [[Gaussian function\|Gaussian shape]] representative of the [[Thom class]] in cohomology, which has a peak along the zero section. Its universal representative is obtained using the machinery of [[equivariant differential forms]].{{cn\|date=April 2018}}

	Mathai was awarded the [[Australian Mathematical Society]] Medal in 2000.<ref>{{cite web\| url=http://oldsite.austms.org.au/AMSInfo/Medal/2000winners.html\|title=Christine O'Keefe and Mathai Varghese share the Australian Mathematical Society 2000 Medal\|publisher=Australian Mathematical Society}}</ref> From August 2000 to August 2001, he was also a [[Clay Mathematics Institute]] Research Fellow and Visiting Scientist at the [[Massachusetts Institute of Technology]]. From March to June 2006, he was a senior research fellow at the [[Erwin Schrödinger Institute]] in Vienna.		Mathai was awarded the [[Australian Mathematical Society]] Medal in 2000.<ref>{{cite web\| url=http://oldsite.austms.org.au/AMSInfo/Medal/2000winners.html\|title=Christine O'Keefe and Mathai Varghese share the Australian Mathematical Society 2000 Medal\|publisher=Australian Mathematical Society}}</ref> From August 2000 to August 2001, he was also a [[Clay Mathematics Institute]] Research Fellow and Visiting Scientist at the [[Massachusetts Institute of Technology]]. From March to June 2006, he was a senior research fellow at the [[Erwin Schrödinger Institute]] in Vienna.
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	[[Category:Living people]]		[[Category:Living people]]
	[[Category:Fellows of the Australian Academy of Science]]		[[Category:Fellows of the Australian Academy of Science]]
	~~[[Category:Recipients of grants or fellowships from the Australian Research Council]]~~

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	'''Mathai Varghese''' is a mathematician at the [[University of Adelaide]]. His first most influential contribution is the [[Mathai–Quillen formalism]],<ref> Mathai, Varghese and Quillen, Daniel. (1986) "Superconnections, Thom classes and equivariant differential forms". ''Topology'' '''25''' (1), 85–110.</ref> which he formulated together with [[Daniel Quillen]], and which has since found applications in [[Atiyah-Singer index theorem\|index theory]] and [[topological quantum field theory]]. He was appointed a full professor in 2006. He was appointed Director of the [[Institute for Geometry and its Applications]] in 2009. In 2011, he was elected a [[Fellow of the Australian Academy of Science]].<ref>{{cite web\|url=http://www.science.org.au/fellows/elected/2011.html\|title=Fellows elected in 2011\|publisher=Australian Academy of Science\|access-date=15 March 2012\|archive-url=https://web.archive.org/web/20120527151019/http://science.org.au/fellows/elected/2011.html\|archive-date=27 May 2012\|url-status=dead\|df=dmy-all}}</ref> In 2013, he was appointed the (Sir Thomas) [[Elder Professor of Mathematics]] at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an [[Australian Research Council\|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web\|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese\|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref>		'''Mathai Varghese''' is a mathematician at the [[University of Adelaide]]. His first most influential contribution is the [[Mathai–Quillen formalism]],<ref>Mathai, Varghese and Quillen, Daniel. (1986) "Superconnections, Thom classes and equivariant differential forms". ''Topology'' '''25''' (1), 85–110.</ref> which he formulated together with [[Daniel Quillen]], and which has since found applications in [[Atiyah-Singer index theorem\|index theory]] and [[topological quantum field theory]]. He was appointed a full professor in 2006. He was appointed Director of the [[Institute for Geometry and its Applications]] in 2009. In 2011, he was elected a [[Fellow of the Australian Academy of Science]].<ref>{{cite web\|url=http://www.science.org.au/fellows/elected/2011.html\|title=Fellows elected in 2011\|publisher=Australian Academy of Science\|access-date=15 March 2012\|archive-url=https://web.archive.org/web/20120527151019/http://science.org.au/fellows/elected/2011.html\|archive-date=27 May 2012\|url-status=dead\|df=dmy-all}}</ref> In 2013, he was appointed the (Sir Thomas) [[Elder Professor of Mathematics]] at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an [[Australian Research Council\|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web\|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese\|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref>
	In 2021, he was awarded the prestigious [[Hannan Medal]]<ref>{{cite web\|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal\|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics.		In 2021, he was awarded the prestigious [[Hannan Medal]]<ref>{{cite web\|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal\|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics.

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{{Use dmy dates|date=August 2015}}
{{Use Australian English|date=August 2015}}
{{Western name order|Mathai Varghese}}
{{Infobox scientist
| name = Varghese Mathai
| image = MathaiVarghese_017small.jpg
| nationality = [[File:Flag of Australia.svg|20px|]] [[Australia]]n
| field = [[Pure mathematics]], [[Mathematical Physics]]
| work_institution = [[Elder Professor of Mathematics]], [[The University of Adelaide]]
| alma_mater = [[Illinois Institute of Technology]] B.A. (1981) [[Massachusetts Institute of Technology]] Ph.D. (1986)
| thesis_title = Heat Kernels, Thom Classes and the Index Theorem for Imbeddings
| thesis_url =
| thesis_year = 1986
| doctoral_advisor = [[Daniel G. Quillen]]
| doctoral_students = Hao Guo Stuart Yates
| known_for = [[Mathai-Quillen formalism]] [[T-duality]] in a background flux Fractional and Projective [[Index theory]] 
| prizes = [[Australian Mathematical Society Medal]]<ref>{{cite web| url=http://oldsite.austms.org.au/AMSInfo/Medal/2000winners.html|title=Christine O'Keefe and Mathai Varghese share the Australian Mathematical Society Medal|publisher=Australian Mathematical Society Medal}}</ref> (2000) 
[[Fellow of the Australian Academy of Science]].<ref>{{cite web|url=http://www.science.org.au/fellows/elected/2011.html|title=Fellows elected in 2011|publisher=Australian Academy of Science|access-date=15 March 2012|archive-url=https://web.archive.org/web/20120527151019/http://science.org.au/fellows/elected/2011.html|archive-date=27 May 2012|url-status=dead|df=dmy-all}}</ref> (2011)
 
[[Australian Research Council|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref> (2018-2023) 
[[Hannan Medal]]<ref>{{cite web|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> (2021) 
}}

'''Mathai Varghese''' is a mathematician at the [[University of Adelaide]]. His first most influential contribution is the [[Mathai–Quillen formalism]],<ref> Mathai, Varghese and Quillen, Daniel. (1986) "Superconnections, Thom classes and equivariant differential forms". ''Topology'' '''25''' (1), 85–110.</ref> which he formulated together with [[Daniel Quillen]], and which has since found applications in [[Atiyah-Singer index theorem|index theory]] and [[topological quantum field theory]]. He was appointed a full professor in 2006. He was appointed Director of the [[Institute for Geometry and its Applications]] in 2009. In 2011, he was elected a [[Fellow of the Australian Academy of Science]].<ref>{{cite web|url=http://www.science.org.au/fellows/elected/2011.html|title=Fellows elected in 2011|publisher=Australian Academy of Science|access-date=15 March 2012|archive-url=https://web.archive.org/web/20120527151019/http://science.org.au/fellows/elected/2011.html|archive-date=27 May 2012|url-status=dead|df=dmy-all}}</ref> In 2013, he was appointed the (Sir Thomas) [[Elder Professor of Mathematics]] at the University of Adelaide, and was elected a Fellow of the Royal Society of South Australia. In 2017, he was awarded an [[Australian Research Council|ARC]] [[Australian Laureate Fellowship]].<ref>{{cite web|url=http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese|title=2017 Laureate Profile: Professor Mathai Varghese}}</ref>
In 2021, he was awarded the prestigious [[Hannan Medal]]<ref>{{cite web|url=https://www.science.org.au/supporting-science/awards-and-opportunities/hannan-medal|title=2021 Hannan medal and Lecture: Professor Mathai Varghese}}}</ref> and Lecture from the Australian Academy of Science, recognizing an outstanding career in Mathematics.

==Biography==
Mathai received a [[Bachelor of Arts|BA]] at the [[Illinois Institute of Technology]]. He then proceeded to the [[Massachusetts Institute of Technology]], where he was awarded a [[doctorate]] under the supervision of [[Daniel Quillen]], a [[Fields Medal]]list.

Mathai's work is in the area of [[geometric analysis]]. His research interests are in <math>L^2</math> analysis, index theory, and [[noncommutative geometry]]. He currently works on mathematical problems that have their roots in physics, for example, topological field theories, [[fractional quantum Hall effect]], and [[D-branes]] in the presence of [[B-fields]]. The main focus of his research is on the application of noncommutative geometry and index theory to mathematical physics, with particular emphasis on [[string theory]]. His current work on index theory is ongoing joint work with [[Richard Burt Melrose|Richard Melrose]] and [[Isadore Singer]], on the fractional analytic index and on the index theorem for projective families of elliptic operators.<ref>{{cite journal |author1= Mathai, Varghese |author2= Melrose, Richard B. |author3= Singer, Isadore M. |year=2006 |title= Fractional Analytic Index |journal= Journal of Differential Geometry |volume=74 |number=2 |pages= 265–292 |doi=10.4310/jdg/1175266205|doi-access= free }}</ref> His current work on string theory is ongoing joint work with Peter Bouwknegt, Jarah Evslin, Keith Hannabuss and [[Jonathan Rosenberg (mathematician)|Jonathan Rosenberg]], on T-duality in the presence of background flux.<ref>Bouwknegt, Peter, Evslin, Jarah and Mathai, Varghese. (2004) "T-duality: Topology Change from H-flux". ''Communications in Mathematical Physics'' '''249''' (2), 383–415.</ref>

The Mathai–Quillen formalism appeared in ''[[Topology (journal)|Topology]]'', shortly after Mathai completed his Ph.D. Using the [[superconnection]] formalism of Quillen, they obtained a refinement of the [[Riemann-Roch theorem|Riemann–Roch formula]], which links together the [[Thom space|Thom classes]] in [[K-theory]] and [[cohomology]], as an equality on the level of differential forms. This has an interpretation in physics as the computation of the classical and quantum (super) [[partition function (statistical mechanics)|partition functions]] for the fermionic analogue of a [[harmonic oscillator]] with source term. In particular, they obtained a nice [[Gaussian function|Gaussian shape]] representative of the [[Thom class]] in cohomology, which has a peak along the zero section. Its universal representative is obtained using the machinery of [[equivariant differential forms]].{{cn|date=April 2018}}

Mathai was awarded the [[Australian Mathematical Society]] Medal in 2000.<ref>{{cite web| url=http://oldsite.austms.org.au/AMSInfo/Medal/2000winners.html|title=Christine O'Keefe and Mathai Varghese share the Australian Mathematical Society 2000 Medal|publisher=Australian Mathematical Society}}</ref> From August 2000 to August 2001, he was also a [[Clay Mathematics Institute]] Research Fellow and Visiting Scientist at the [[Massachusetts Institute of Technology]]. From March to June 2006, he was a senior research fellow at the [[Erwin Schrödinger Institute]] in Vienna.

==Selected publications==
{{Scholia}}
* {{cite journal|last1=Mathai|first1=Varghese|last2=Quillen|first2=Daniel|authorlink2=Daniel Quillen| year=1986|title=Superconnections, Thom classes and equivariant differential forms|journal=[[Topology (journal)|Topology]] |volume=25|issue=1|pages=85–110|doi=10.1016/0040-9383(86)90007-8|doi-access=free}}
* Bouwknegt, Peter, Evslin, Jarah and Mathai, Varghese. (2004) "T-duality: Topology Change from H-flux". ''[[Communications in Mathematical Physics]]'' '''249''' (2), 383–415.
* {{cite journal|last1=Mathai|first1=Varghese|last2=Melrose|first2=Richard B.|authorlink2=Richard Burt Melrose|last3=Singer|first3=Isadore M.|authorlink3=Isadore Singer| year=2006|title=Fractional Analytic Index|journal=[[Journal of Differential Geometry]]|volume=74|issue=2|pages=265–292|doi=10.4310/jdg/1175266205|doi-access=free}}

==Notes==
{{Reflist}}

==References==
* Blau, Matthias [https://arxiv.org/abs/hep-th/9203026 "The Mathai-Quillen Formalism and Topological Field Theory"], Infinite-dimensional geometry in physics (Karpacz, 1992). J. Geom. Phys. 11 (1993), no. 1-4, 95–127
* Wu, Siye [https://arxiv.org/abs/hep-th/0505003 "Mathai-Quillen Formalism"], J. Geom. Phys. 17 (1995), no. 4, 299–309

==External links==
* [https://researchers.adelaide.edu.au/profile/mathai.varghese Mathai Varghese's research page] at the University of Adelaide.
* {{MathGenealogy|id=62771}}

{{Scientific Research in Kerala |state=collapsed}}
{{authority control}}

{{DEFAULTSORT:Mathai, Varghese}}
[[Category:20th-century Indian mathematicians]]
[[Category:21st-century Indian mathematicians]]
[[Category:Australian mathematicians]]
[[Category:Australian people of Malayali descent]]
[[Category:Massachusetts Institute of Technology alumni]]
[[Category:Illinois Institute of Technology alumni]]
[[Category:Scientists from Kerala]]
[[Category:University of Adelaide faculty]]
[[Category:Year of birth missing (living people)]]
[[Category:Living people]]
[[Category:Fellows of the Australian Academy of Science]]
[[Category:Recipients of grants or fellowships from the Australian Research Council]]