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== Research ==
== Research ==
{{Excessive citations|date=August 2018|yes}}
{{Excessive citations|date=August 2018|yes}}
Marcolli's research work has covered different areas of mathematics and theoretical physics: [[gauge theory]] and [[low-dimensional topology]],<ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Wang|first2=Bai-Ling|date=2001|title=Equivariant Seiberg-Witten Floer homology|url=https://doi.org/10.4310/cag.2001.v9.n3.a1|journal=Communications in Analysis and Geometry|language=EN|volume=9|issue=3|pages=451–639|doi=10.4310/cag.2001.v9.n3.a1|issn=1019-8385}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Wang|first2=Bai-Ling|date=2002|title=Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres|url=https://doi.org/10.1023/a:1016299716922|journal=Geometriae Dedicata|language=en|volume=91|issue=1|pages=45–58|doi=10.1023/a:1016299716922|issn=0046-5755}}</ref><ref>{{Cite journal|last=Carey|first=A. L.|last2=Marcolli|first2=M.|last3=Wang|first3=B. L.|date=April 2003|title=The Geometric Triangle for 3-dimensional Seiberg–witten Monopoles|url=https://doi.org/10.1142/s0219199703000975|journal=Communications in Contemporary Mathematics|language=en|volume=05|issue=02|pages=197–250|doi=10.1142/s0219199703000975|issn=0219-1997|via=}}</ref> algebraic-geometric structures in [[quantum field theory]],<ref>{{Cite journal|last=Connes|first=Alain|last2=Marcolli|first2=Matilde|date=2004|title=Renormalization and motivic Galois theory|url=https://doi.org/10.1155/s1073792804143122|journal=International Mathematics Research Notices|language=en|volume=2004|issue=76|pages=4073|doi=10.1155/s1073792804143122|issn=1073-7928}}</ref><ref>{{Citation|last=Connes|first=Alain|title=Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory|date=2007|url=https://doi.org/10.1007/978-3-540-30308-4_13|work=Frontiers in Number Theory, Physics, and Geometry II|pages=617–713|publisher=Springer Berlin Heidelberg|language=en|doi=10.1007/978-3-540-30308-4_13|isbn=9783540303077|access-date=2018-08-26|last2=Marcolli|first2=Matilde}}</ref><ref>{{Cite journal|last=Aluffi|first=Paolo|last2=Marcolli|first2=Matilde|date=2009|title=Feynman motives of banana graphs|url=https://doi.org/10.4310/cntp.2009.v3.n1.a1|journal=Communications in Number Theory and Physics|language=EN|volume=3|issue=1|pages=1–57|doi=10.4310/cntp.2009.v3.n1.a1|issn=1931-4523}}</ref><ref>{{Cite journal|last=Aluffi|first=Paolo|last2=Marcolli|first2=Matilde|date=2010|title=Parametric Feynman integrals and determinant hypersurfaces|url=https://doi.org/10.4310/atmp.2010.v14.n3.a5|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=14|issue=3|pages=911–964|doi=10.4310/atmp.2010.v14.n3.a5|issn=1095-0761}}</ref><ref>M.Marcolli, ''Motivic renormalization and singularities'' to appear in "Quanta of Maths, in honor of Alain Connes" Clay Mathematical Institute, 2010.</ref>{{Too many citations|date=August 2018}} [[noncommutative geometry]] with applications to [[number theory]]<ref>{{Cite journal|last=|first=|date=|title=|url=|journal=|volume=|pages=|arxiv=1009.0736|via=}}</ref><ref>{{Cite journal|last=Manin|first=Yuri I.|last2=Marcolli|first2=Matilde|date=2010-03-23|title=Error-Correcting Codes and Phase Transitions|url=https://doi.org/10.1007/s11786-010-0031-8|journal=Mathematics in Computer Science|language=en|volume=5|issue=2|pages=133–170|doi=10.1007/s11786-010-0031-8|issn=1661-8270}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|date=2008|title=Solvmanifolds and noncommutative tori with real multiplication|url=https://doi.org/10.4310/cntp.2008.v2.n2.a4|journal=Communications in Number Theory and Physics|language=EN|volume=2|issue=2|pages=421–476|doi=10.4310/cntp.2008.v2.n2.a4|issn=1931-4523}}</ref><ref>{{Citation|last=Manin|first=Yuri I.|title=Modular shadows and the Lévy—Mellin ∞—adic transform|date=|url=https://doi.org/10.1017/cbo9780511543371.012|work=Modular Forms on Schiermonnikoog|volume=|pages=189–238|publisher=Cambridge University Press|language=en|doi=10.1017/cbo9780511543371.012|isbn=9780511543371|access-date=2018-08-26|last2=Marcolli|first2=Matilde}}</ref><ref>{{Cite journal|last=Consani|first=Caterina|last2=Marcolli|first2=Matilde|date=April 2007|title=Quantum statistical mechanics over function fields|url=https://doi.org/10.1016/j.jnt.2006.12.002|journal=Journal of Number Theory|volume=123|issue=2|pages=487–528|doi=10.1016/j.jnt.2006.12.002|issn=0022-314X|via=}}</ref><ref>{{Citation|last=Connes|first=Alain|title=The Weil Proof and the Geometry of the Adelès Class Space|date=2009|url=https://doi.org/10.1007/978-0-8176-4745-2_8|work=Algebra, Arithmetic, and Geometry|pages=339–405|publisher=Birkhäuser Boston|language=en|doi=10.1007/978-0-8176-4745-2_8|isbn=9780817647445|access-date=2018-08-26|last2=Consani|first2=Caterina|last3=Marcolli|first3=Matilde}}</ref><ref>{{Cite journal|last=Connes|first=Alain|last2=Consani|first2=Caterina|last3=Marcolli|first3=Matilde|date=October 2007|title=Noncommutative geometry and motives: The thermodynamics of endomotives|url=https://doi.org/10.1016/j.aim.2007.03.006|journal=Advances in Mathematics|volume=214|issue=2|pages=761–831|doi=10.1016/j.aim.2007.03.006|issn=0001-8708|via=}}</ref><ref>{{Cite journal|last=Connes|first=Alain|last2=Marcolli|first2=Matilde|last3=Ramachandran|first3=Niranjan|date=2005-12-28|title=KMS states and complex multiplication|url=https://doi.org/10.1007/s00029-005-0013-x|journal=Selecta Mathematica|language=en|volume=11|issue=3-4|pages=325–347|doi=10.1007/s00029-005-0013-x|issn=1022-1824}}</ref><ref>A.Connes, M. Marcolli, ''Quantum Statistical Mechanics of Q-lattices'' in "Frontiers in Number Theory, Physics, and Geometry, I" pp. 269–350, Springer Verlag, 2006.</ref><ref>{{Cite journal|last=Consani|first=Caterina|last2=Marcolli|first2=Matilde|date=August 2004|title=Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry|url=https://doi.org/10.1007/s00029-004-0369-3|journal=Selecta Mathematica|language=en|volume=10|issue=2|pages=167–251|doi=10.1007/s00029-004-0369-3|issn=1022-1824|via=}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|date=February 2003|title=Limiting modular symbols and the Lyapunov spectrum|url=https://doi.org/10.1016/s0022-314x(02)00044-6|journal=Journal of Number Theory|volume=98|issue=2|pages=348–376|doi=10.1016/s0022-314x(02)00044-6|issn=0022-314X|via=}}</ref><ref>{{Cite journal|last=Manin|first=Yuri I.|last2=Marcolli|first2=Matilde|date=2001|title=Holography principle and arithmetic of algebraic curves|url=https://doi.org/10.4310/atmp.2001.v5.n3.a6|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=5|issue=3|pages=617–650|doi=10.4310/atmp.2001.v5.n3.a6|issn=1095-0761}}</ref><ref>{{Cite journal|last=Manin|first=Y. I.|last2=Marcolli|first2=M.|date=2002-09-01|title=Continued fractions, modular symbols, and noncommutative geometry|url=https://doi.org/10.1007/s00029-002-8113-3|journal=Selecta Mathematica, New Series|language=en|volume=8|issue=3|pages=475–521|doi=10.1007/s00029-002-8113-3|issn=1022-1824}}</ref>{{Too many citations|date=August 2018}} and to physics models, especially related to [[particle physics]],<ref>{{Cite journal|last=Chamseddine|first=Ali H.|last2=Connes|first2=Alain|last3=Marcolli|first3=Matilde|date=2007|title=Gravity and the standard model with neutrino mixing|url=https://doi.org/10.4310/atmp.2007.v11.n6.a3|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=11|issue=6|pages=991–1089|doi=10.4310/atmp.2007.v11.n6.a3|issn=1095-0761}}</ref> [[quantum gravity]]<ref>{{Cite journal|last=Denicola|first=Domenic|last2=Marcolli|first2=Matilde|last3=Zainy al-Yasry|first3=Ahmad|date=2010-09-22|title=Spin foams and noncommutative geometry|url=https://doi.org/10.1088/0264-9381/27/20/205025|journal=Classical and Quantum Gravity|volume=27|issue=20|pages=205025|doi=10.1088/0264-9381/27/20/205025|issn=0264-9381}}</ref> and [[cosmology]],<ref>{{Cite journal|last=|first=|date=|title=|url=|journal=|volume=|pages=|arxiv=0908.3683|via=}}</ref><ref>{{Cite journal|last=|first=|date=|title=|url=|journal=|volume=|pages=|arxiv=1005.2256|via=}}</ref><ref>{{Cite journal|last=Kolodrubetz|first=Daniel|last2=Marcolli|first2=Matilde|date=September 2010|title=Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology|url=https://doi.org/10.1016/j.physletb.2010.08.018|journal=Physics Letters B|volume=693|issue=2|pages=166–174|doi=10.1016/j.physletb.2010.08.018|issn=0370-2693|via=}}</ref> and to the [[quantum Hall effect]].<ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Mathai|first2=Mathaiavarghese|date=November 1999|title=Twisted Index Theory on Good Orbifolds, I: Noncommutative Bloch Theory|url=https://doi.org/10.1142/s0219199799000213|journal=Communications in Contemporary Mathematics|language=en|volume=01|issue=04|pages=553–587|doi=10.1142/s0219199799000213|issn=0219-1997|via=}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Mathai|first2=Varghese|date=2001-02-01|title=Twisted Index Theory on Good Orbifolds, II:¶Fractional Quantum Numbers|url=https://doi.org/10.1007/s002200000351|journal=Communications in Mathematical Physics|language=en|volume=217|issue=1|pages=55–87|doi=10.1007/s002200000351|issn=0010-3616}}</ref> She has collaborated with several other mathematicians and physicists,<ref>{{cite web|url=http://www.its.caltech.edu/~matilde/people.html|title=Matilde Marcolli: Collaborators and Students|website=www.its.caltech.edu}}</ref> among them [[Yuri I. Manin]] and [[Alain Connes]]. Ten graduate students obtained their PhD under her supervision between 2006 and 2010.
Marcolli's research work has covered different areas of mathematics and theoretical physics: [[gauge theory]] and [[low-dimensional topology]],<ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Wang|first2=Bai-Ling|date=2001|title=Equivariant Seiberg-Witten Floer homology|journal=Communications in Analysis and Geometry|language=EN|volume=9|issue=3|pages=451–639|doi=10.4310/cag.2001.v9.n3.a1|issn=1019-8385}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Wang|first2=Bai-Ling|date=2002|title=Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres|journal=Geometriae Dedicata|language=en|volume=91|issue=1|pages=45–58|doi=10.1023/a:1016299716922|issn=0046-5755}}</ref><ref>{{Cite journal|last=Carey|first=A. L.|last2=Marcolli|first2=M.|last3=Wang|first3=B. L.|date=April 2003|title=The Geometric Triangle for 3-dimensional Seiberg–witten Monopoles|journal=Communications in Contemporary Mathematics|language=en|volume=05|issue=2|pages=197–250|doi=10.1142/s0219199703000975|issn=0219-1997|arxiv=math/9907065}}</ref> algebraic-geometric structures in [[quantum field theory]],<ref>{{Cite journal|last=Connes|first=Alain|last2=Marcolli|first2=Matilde|date=2004|title=Renormalization and motivic Galois theory|journal=International Mathematics Research Notices|language=en|volume=2004|issue=76|pages=4073|doi=10.1155/s1073792804143122|issn=1073-7928}}</ref><ref>{{Citation|last=Connes|first=Alain|title=Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory|date=2007|work=Frontiers in Number Theory, Physics, and Geometry II|pages=617–713|publisher=Springer Berlin Heidelberg|language=en|doi=10.1007/978-3-540-30308-4_13|isbn=9783540303077|last2=Marcolli|first2=Matilde}}</ref><ref>{{Cite journal|last=Aluffi|first=Paolo|last2=Marcolli|first2=Matilde|date=2009|title=Feynman motives of banana graphs|journal=Communications in Number Theory and Physics|language=EN|volume=3|issue=1|pages=1–57|doi=10.4310/cntp.2009.v3.n1.a1|issn=1931-4523}}</ref><ref>{{Cite journal|last=Aluffi|first=Paolo|last2=Marcolli|first2=Matilde|date=2010|title=Parametric Feynman integrals and determinant hypersurfaces|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=14|issue=3|pages=911–964|doi=10.4310/atmp.2010.v14.n3.a5|issn=1095-0761}}</ref><ref>M.Marcolli, ''Motivic renormalization and singularities'' to appear in "Quanta of Maths, in honor of Alain Connes" Clay Mathematical Institute, 2010.</ref>{{Too many citations|date=August 2018}} [[noncommutative geometry]] with applications to [[number theory]]<ref>{{Cite journal|last=|first=|title=Quantum Statistical Mechanics, L-series and Anabelian Geometry|url=|journal=|volume=|pages=|arxiv=1009.0736|via=|last1=Cornelissen|first1=Gunther|last2=Marcolli|first2=Matilde|year=2010}}</ref><ref>{{Cite journal|last=Manin|first=Yuri I.|last2=Marcolli|first2=Matilde|date=2010-03-23|title=Error-Correcting Codes and Phase Transitions|journal=Mathematics in Computer Science|language=en|volume=5|issue=2|pages=133–170|doi=10.1007/s11786-010-0031-8|issn=1661-8270|arxiv=0910.5135}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|date=2008|title=Solvmanifolds and noncommutative tori with real multiplication|journal=Communications in Number Theory and Physics|language=EN|volume=2|issue=2|pages=421–476|doi=10.4310/cntp.2008.v2.n2.a4|issn=1931-4523}}</ref><ref>{{Citation|last=Manin|first=Yuri I.|volume=|pages=189–238|publisher=Cambridge University Press|language=en|doi=10.1017/cbo9780511543371.012|isbn=9780511543371|last2=Marcolli|first2=Matilde|title=Modular Forms on Schiermonnikoog|year=2008|citeseerx=10.1.1.240.9146}}</ref><ref>{{Cite journal|last=Consani|first=Caterina|last2=Marcolli|first2=Matilde|date=April 2007|title=Quantum statistical mechanics over function fields|journal=Journal of Number Theory|volume=123|issue=2|pages=487–528|doi=10.1016/j.jnt.2006.12.002|issn=0022-314X}}</ref><ref>{{Citation|last=Connes|first=Alain|title=The Weil Proof and the Geometry of the Adelès Class Space|date=2009|work=Algebra, Arithmetic, and Geometry|pages=339–405|publisher=Birkhäuser Boston|language=en|doi=10.1007/978-0-8176-4745-2_8|isbn=9780817647445|last2=Consani|first2=Caterina|last3=Marcolli|first3=Matilde|arxiv=math/0703392}}</ref><ref>{{Cite journal|last=Connes|first=Alain|last2=Consani|first2=Caterina|last3=Marcolli|first3=Matilde|date=October 2007|title=Noncommutative geometry and motives: The thermodynamics of endomotives|journal=Advances in Mathematics|volume=214|issue=2|pages=761–831|doi=10.1016/j.aim.2007.03.006|issn=0001-8708}}</ref><ref>{{Cite journal|last=Connes|first=Alain|last2=Marcolli|first2=Matilde|last3=Ramachandran|first3=Niranjan|date=2005-12-28|title=KMS states and complex multiplication|journal=Selecta Mathematica|language=en|volume=11|issue=3–4|pages=325–347|doi=10.1007/s00029-005-0013-x|issn=1022-1824|arxiv=math/0501424}}</ref><ref>A.Connes, M. Marcolli, ''Quantum Statistical Mechanics of Q-lattices'' in "Frontiers in Number Theory, Physics, and Geometry, I" pp. 269–350, Springer Verlag, 2006.</ref><ref>{{Cite journal|last=Consani|first=Caterina|last2=Marcolli|first2=Matilde|date=August 2004|title=Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry|journal=Selecta Mathematica|language=en|volume=10|issue=2|pages=167–251|doi=10.1007/s00029-004-0369-3|issn=1022-1824|citeseerx=10.1.1.239.9156}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|date=February 2003|title=Limiting modular symbols and the Lyapunov spectrum|journal=Journal of Number Theory|volume=98|issue=2|pages=348–376|doi=10.1016/s0022-314x(02)00044-6|issn=0022-314X}}</ref><ref>{{Cite journal|last=Manin|first=Yuri I.|last2=Marcolli|first2=Matilde|date=2001|title=Holography principle and arithmetic of algebraic curves|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=5|issue=3|pages=617–650|doi=10.4310/atmp.2001.v5.n3.a6|issn=1095-0761}}</ref><ref>{{Cite journal|last=Manin|first=Y. I.|last2=Marcolli|first2=M.|date=2002-09-01|title=Continued fractions, modular symbols, and noncommutative geometry|journal=Selecta Mathematica, New Series|language=en|volume=8|issue=3|pages=475–521|doi=10.1007/s00029-002-8113-3|issn=1022-1824|citeseerx=10.1.1.239.20}}</ref>{{Too many citations|date=August 2018}} and to physics models, especially related to [[particle physics]],<ref>{{Cite journal|last=Chamseddine|first=Ali H.|last2=Connes|first2=Alain|last3=Marcolli|first3=Matilde|date=2007|title=Gravity and the standard model with neutrino mixing|journal=Advances in Theoretical and Mathematical Physics|language=EN|volume=11|issue=6|pages=991–1089|doi=10.4310/atmp.2007.v11.n6.a3|issn=1095-0761}}</ref> [[quantum gravity]]<ref>{{Cite journal|last=Denicola|first=Domenic|last2=Marcolli|first2=Matilde|last3=Zainy al-Yasry|first3=Ahmad|date=2010-09-22|title=Spin foams and noncommutative geometry|journal=Classical and Quantum Gravity|volume=27|issue=20|pages=205025|doi=10.1088/0264-9381/27/20/205025|issn=0264-9381|arxiv=1005.1057}}</ref> and [[cosmology]],<ref>{{Cite journal|last=|first=|title=Early Universe models from Noncommutative Geometry|url=|journal=|volume=|pages=|arxiv=0908.3683|via=|last1=Cornelissen|first1=Gunther|last2=Marcolli|first2=Matilde|year=2009}}</ref><ref>{{Cite journal|last=|first=|title=The spectral action and cosmic topology|url=|journal=Commun.math.phys|volume=304|pages=125-174|arxiv=1005.2256|via=|last1=Cornelissen|first1=Gunther|last2=Marcolli|first2=Matilde|last3=Teh|first3=Kevin|year=2011|doi=10.1007/s00220-011-1211-3|citeseerx=10.1.1.750.9746}}</ref><ref>{{Cite journal|last=Kolodrubetz|first=Daniel|last2=Marcolli|first2=Matilde|date=September 2010|title=Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology|journal=Physics Letters B|volume=693|issue=2|pages=166–174|doi=10.1016/j.physletb.2010.08.018|issn=0370-2693|arxiv=1006.4000}}</ref> and to the [[quantum Hall effect]].<ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Mathai|first2=Mathaiavarghese|date=November 1999|title=Twisted Index Theory on Good Orbifolds, I: Noncommutative Bloch Theory|journal=Communications in Contemporary Mathematics|language=en|volume=01|issue=4|pages=553–587|doi=10.1142/s0219199799000213|issn=0219-1997|arxiv=math/9911102}}</ref><ref>{{Cite journal|last=Marcolli|first=Matilde|last2=Mathai|first2=Varghese|date=2001-02-01|title=Twisted Index Theory on Good Orbifolds, II:¶Fractional Quantum Numbers|journal=Communications in Mathematical Physics|language=en|volume=217|issue=1|pages=55–87|doi=10.1007/s002200000351|issn=0010-3616|arxiv=math/9911103}}</ref> She has collaborated with several other mathematicians and physicists,<ref>{{cite web|url=http://www.its.caltech.edu/~matilde/people.html|title=Matilde Marcolli: Collaborators and Students|website=www.its.caltech.edu}}</ref> among them [[Yuri I. Manin]] and [[Alain Connes]]. Ten graduate students obtained their PhD under her supervision between 2006 and 2010.


== Honors and awards ==
== Honors and awards ==

Revision as of 21:29, 26 August 2018

Matilde Marcolli
Marcolli in 2010 at Oberwolfach
Born (1969-11-30) November 30, 1969 (age 54)
Como
NationalityItaly
Alma materUniversity of Milan, University of Chicago
Scientific career
FieldsMathematics
InstitutionsUniversity of Bonn, Florida State University, Max Planck Institute for Mathematics, Caltech
Doctoral advisorMelvin Rothenberg

Matilde Marcolli is an Italian mathematical physicist.

Career

Marcolli obtained her Laurea in Physics in 1993 summa cum laude from the University of Milan under the supervision of Renzo Piccinini, with a thesis on Classes of self equivalences of fibre bundles.[1] She moved to the USA in 1994, where she obtained a master's degree (1994) and a PhD (1997) in Mathematics from the University of Chicago, under the supervision of Melvin Rothenberg, with a thesis on Three dimensional aspects of Seiberg-Witten Gauge Theory.[citation needed] Between 1997 and 2000 she worked at the Massachusetts Institute of Technology (MIT) as a C.L.E. Moore instructor in the Department of Mathematics.[2] Between 2000 and 2010 she held a C3 position (German equivalent of associate professor) at the Max Planck Institute for Mathematics in Bonn and held an associate professor position (courtesy) at Florida State University in Tallahassee. She also held an honorary professorship at the University of Bonn. Since 2008 she is full professor of Mathematics in the Division of Physics, Mathematics and Astronomy of the California Institute of Technology in Pasadena. She held visiting positions at the Tata Institute of Fundamental Research in Mumbai, the Kavli Institute for Theoretical Physics in Santa Barbara, the Mittag-Leffler Institute in Stockholm, the Isaac Newton Institute in Cambridge, and the Mathematical Sciences Research Institute in Berkeley, California.[3]

Research

Marcolli's research work has covered different areas of mathematics and theoretical physics: gauge theory and low-dimensional topology,[4][5][6] algebraic-geometric structures in quantum field theory,[7][8][9][10][11]

noncommutative geometry with applications to number theory[12][13][14][15][16][17][18][19][20][21][22][23][24]

and to physics models, especially related to particle physics,[25] quantum gravity[26] and cosmology,[27][28][29] and to the quantum Hall effect.[30][31] She has collaborated with several other mathematicians and physicists,[32] among them Yuri I. Manin and Alain Connes. Ten graduate students obtained their PhD under her supervision between 2006 and 2010.

Honors and awards

In 2001 she obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft (DFG)[33] and in 2002 the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation.[34] She was a plenary speaker in the 2008 European Congress of Mathematics in Amsterdam (with a talk on Renormalization, Galois symmetries and motives)[35] and an invited speaker of the 2010 International Congress of Mathematicians in Hyderabad (with a talk on Noncommutative Geometry and Arithmetic).[36]

Publications (books authored)

Books edited

  • Frobenius manifolds (with Claus Hertling), Vieweg Verlag, 2003.
  • Noncommutative geometry and Number Theory (with Caterina Consani) Vieweg Verlag, 2005.
  • Traces in Geometry, Number Theory, and Quantum Fields (with Sergio Albeverio, Sylvie Paycha, Jorge Plazas), Vieweg Verlag, 2008.
  • An invitation to Noncommutative Geometry (with Masoud Khalkhali) World Scientific, 2008.
  • Arithmetic and Geometry around Quantization (with Ozgur Ceyhan and Yuri Manin) Birkhauser, 2010.
  • Deformation spaces (with Hossein Abbaspour and Thomas Tradler), Vieweg Verlag, 2010.
  • Quantum groups and noncommutative spaces (with Deepak Parashar), Vieweg Verlag, 2010.

References

  1. ^ [1][dead link]
  2. ^ "Data sheet". http://www-math.mit.edu/~hrm/moores.txt. {{cite web}}: External link in |website= (help)
  3. ^ "Matilde Marcolli". www.its.caltech.edu.
  4. ^ Marcolli, Matilde; Wang, Bai-Ling (2001). "Equivariant Seiberg-Witten Floer homology". Communications in Analysis and Geometry. 9 (3): 451–639. doi:10.4310/cag.2001.v9.n3.a1. ISSN 1019-8385.
  5. ^ Marcolli, Matilde; Wang, Bai-Ling (2002). "Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres". Geometriae Dedicata. 91 (1): 45–58. doi:10.1023/a:1016299716922. ISSN 0046-5755.
  6. ^ Carey, A. L.; Marcolli, M.; Wang, B. L. (April 2003). "The Geometric Triangle for 3-dimensional Seiberg–witten Monopoles". Communications in Contemporary Mathematics. 05 (2): 197–250. arXiv:math/9907065. doi:10.1142/s0219199703000975. ISSN 0219-1997.
  7. ^ Connes, Alain; Marcolli, Matilde (2004). "Renormalization and motivic Galois theory". International Mathematics Research Notices. 2004 (76): 4073. doi:10.1155/s1073792804143122. ISSN 1073-7928.{{cite journal}}: CS1 maint: unflagged free DOI (link)
  8. ^ Connes, Alain; Marcolli, Matilde (2007), "Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory", Frontiers in Number Theory, Physics, and Geometry II, Springer Berlin Heidelberg, pp. 617–713, doi:10.1007/978-3-540-30308-4_13, ISBN 9783540303077
  9. ^ Aluffi, Paolo; Marcolli, Matilde (2009). "Feynman motives of banana graphs". Communications in Number Theory and Physics. 3 (1): 1–57. doi:10.4310/cntp.2009.v3.n1.a1. ISSN 1931-4523.
  10. ^ Aluffi, Paolo; Marcolli, Matilde (2010). "Parametric Feynman integrals and determinant hypersurfaces". Advances in Theoretical and Mathematical Physics. 14 (3): 911–964. doi:10.4310/atmp.2010.v14.n3.a5. ISSN 1095-0761.
  11. ^ M.Marcolli, Motivic renormalization and singularities to appear in "Quanta of Maths, in honor of Alain Connes" Clay Mathematical Institute, 2010.
  12. ^ Cornelissen, Gunther; Marcolli, Matilde (2010). "Quantum Statistical Mechanics, L-series and Anabelian Geometry". arXiv:1009.0736. {{cite journal}}: Cite journal requires |journal= (help)
  13. ^ Manin, Yuri I.; Marcolli, Matilde (2010-03-23). "Error-Correcting Codes and Phase Transitions". Mathematics in Computer Science. 5 (2): 133–170. arXiv:0910.5135. doi:10.1007/s11786-010-0031-8. ISSN 1661-8270.
  14. ^ Marcolli, Matilde (2008). "Solvmanifolds and noncommutative tori with real multiplication". Communications in Number Theory and Physics. 2 (2): 421–476. doi:10.4310/cntp.2008.v2.n2.a4. ISSN 1931-4523.
  15. ^ Manin, Yuri I.; Marcolli, Matilde (2008), Modular Forms on Schiermonnikoog, Cambridge University Press, pp. 189–238, CiteSeerX 10.1.1.240.9146, doi:10.1017/cbo9780511543371.012, ISBN 9780511543371
  16. ^ Consani, Caterina; Marcolli, Matilde (April 2007). "Quantum statistical mechanics over function fields". Journal of Number Theory. 123 (2): 487–528. doi:10.1016/j.jnt.2006.12.002. ISSN 0022-314X.
  17. ^ Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "The Weil Proof and the Geometry of the Adelès Class Space", Algebra, Arithmetic, and Geometry, Birkhäuser Boston, pp. 339–405, arXiv:math/0703392, doi:10.1007/978-0-8176-4745-2_8, ISBN 9780817647445
  18. ^ Connes, Alain; Consani, Caterina; Marcolli, Matilde (October 2007). "Noncommutative geometry and motives: The thermodynamics of endomotives". Advances in Mathematics. 214 (2): 761–831. doi:10.1016/j.aim.2007.03.006. ISSN 0001-8708.
  19. ^ Connes, Alain; Marcolli, Matilde; Ramachandran, Niranjan (2005-12-28). "KMS states and complex multiplication". Selecta Mathematica. 11 (3–4): 325–347. arXiv:math/0501424. doi:10.1007/s00029-005-0013-x. ISSN 1022-1824.
  20. ^ A.Connes, M. Marcolli, Quantum Statistical Mechanics of Q-lattices in "Frontiers in Number Theory, Physics, and Geometry, I" pp. 269–350, Springer Verlag, 2006.
  21. ^ Consani, Caterina; Marcolli, Matilde (August 2004). "Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry". Selecta Mathematica. 10 (2): 167–251. CiteSeerX 10.1.1.239.9156. doi:10.1007/s00029-004-0369-3. ISSN 1022-1824.
  22. ^ Marcolli, Matilde (February 2003). "Limiting modular symbols and the Lyapunov spectrum". Journal of Number Theory. 98 (2): 348–376. doi:10.1016/s0022-314x(02)00044-6. ISSN 0022-314X.
  23. ^ Manin, Yuri I.; Marcolli, Matilde (2001). "Holography principle and arithmetic of algebraic curves". Advances in Theoretical and Mathematical Physics. 5 (3): 617–650. doi:10.4310/atmp.2001.v5.n3.a6. ISSN 1095-0761.
  24. ^ Manin, Y. I.; Marcolli, M. (2002-09-01). "Continued fractions, modular symbols, and noncommutative geometry". Selecta Mathematica, New Series. 8 (3): 475–521. CiteSeerX 10.1.1.239.20. doi:10.1007/s00029-002-8113-3. ISSN 1022-1824.
  25. ^ Chamseddine, Ali H.; Connes, Alain; Marcolli, Matilde (2007). "Gravity and the standard model with neutrino mixing". Advances in Theoretical and Mathematical Physics. 11 (6): 991–1089. doi:10.4310/atmp.2007.v11.n6.a3. ISSN 1095-0761.
  26. ^ Denicola, Domenic; Marcolli, Matilde; Zainy al-Yasry, Ahmad (2010-09-22). "Spin foams and noncommutative geometry". Classical and Quantum Gravity. 27 (20): 205025. arXiv:1005.1057. doi:10.1088/0264-9381/27/20/205025. ISSN 0264-9381.
  27. ^ Cornelissen, Gunther; Marcolli, Matilde (2009). "Early Universe models from Noncommutative Geometry". arXiv:0908.3683. {{cite journal}}: Cite journal requires |journal= (help)
  28. ^ Cornelissen, Gunther; Marcolli, Matilde; Teh, Kevin (2011). "The spectral action and cosmic topology". Commun.math.phys. 304: 125–174. arXiv:1005.2256. CiteSeerX 10.1.1.750.9746. doi:10.1007/s00220-011-1211-3.
  29. ^ Kolodrubetz, Daniel; Marcolli, Matilde (September 2010). "Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology". Physics Letters B. 693 (2): 166–174. arXiv:1006.4000. doi:10.1016/j.physletb.2010.08.018. ISSN 0370-2693.
  30. ^ Marcolli, Matilde; Mathai, Mathaiavarghese (November 1999). "Twisted Index Theory on Good Orbifolds, I: Noncommutative Bloch Theory". Communications in Contemporary Mathematics. 01 (4): 553–587. arXiv:math/9911102. doi:10.1142/s0219199799000213. ISSN 0219-1997.
  31. ^ Marcolli, Matilde; Mathai, Varghese (2001-02-01). "Twisted Index Theory on Good Orbifolds, II:¶Fractional Quantum Numbers". Communications in Mathematical Physics. 217 (1): 55–87. arXiv:math/9911103. doi:10.1007/s002200000351. ISSN 0010-3616.
  32. ^ "Matilde Marcolli: Collaborators and Students". www.its.caltech.edu.
  33. ^ "DFG - Deutsche Forschungsgemeinschaft - Heinz Maier-Leibnitz-Preis 2001". www.dfg.de.
  34. ^ "Mathmatecs people" (PDF). www.ams.org.
  35. ^ "Guide to Amsterdam 5th European Mathematical Congress". www.5ecm.nl.
  36. ^ "Archived copy". Archived from the original on 2010-02-08. Retrieved 2010-02-17. {{cite web}}: Unknown parameter |deadurl= ignored (|url-status= suggested) (help)CS1 maint: archived copy as title (link)
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