Italian mathematician and physicist
Matilde Marcolli is an Italian and American
mathematical physicist . She has conducted research work in areas of mathematics and theoretical physics; obtained the
Heinz Maier-Leibnitz-Preis of the
Deutsche Forschungsgemeinschaft , and the
Sofia Kovalevskaya Award of the
Alexander von Humboldt Foundation . Marcolli has authored and edited numerous books in the field. She is currently the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the
California Institute of Technology .
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 . 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 . From 2008 to 2017 she was a full professor of Mathematics in the Division of Physics, Mathematics and Astronomy of the
California Institute of Technology . Between 2018 and 2020 she was a professor in the mathematics department of the
University of Toronto and a member of the
Perimeter Institute .
[3] She is currently the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the
California Institute of Technology .
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 .
[4]
Research
Marcolli's research work has covered different areas of mathematics and theoretical physics:
gauge theory and
low-dimensional topology ,
[5]
[6] algebraic-geometric structures in
quantum field theory ,
[7]
[8]
noncommutative geometry with applications to
number theory
[9]
[10] and to physics models, especially related to
particle physics ,
[11]
quantum gravity
[12] and
cosmology ,
[13]
[14] and to the
quantum Hall effect .
[15]
[16]
She also worked in linguistics.
She has collaborated with several other mathematicians, physicists, and linguists,
[17] among them
Yuri I. Manin ,
Alain Connes ,
Michael Atiyah ,
Roger Penrose ,
Noam Chomsky .
Twenty six graduate students obtained their PhD under her supervision between 2006 and 2022.
[18]
Honors and awards
In 2001 she obtained the
Heinz Maier-Leibnitz-Preis of the
Deutsche Forschungsgemeinschaft (DFG)
[19] and in 2002 the
Sofia Kovalevskaya Award of the
Alexander von Humboldt Foundation .
[20] She was a plenary speaker in the 2008
European Congress of Mathematics in
Amsterdam (with a talk on Renormalization, Galois symmetries and motives)
[21] and an invited speaker of the 2010
International Congress of Mathematicians in
Hyderabad (with a talk on Noncommutative Geometry and Arithmetic).
[22]
Books authored
Books edited
Hertling, Claus; Marcolli, Matilde, eds. (2003). Frobenius Manifolds : Quantum Cohomology and Singularities . Vieweg-Teubner Verlag.
ISBN
978-3-322-80238-5 .
Consani, Caterina ; Marcolli, Matilde, eds. (2006). Noncommutative geometry and number theory : where arithmetic meets geometry and physics (1st ed.). Vieweg-Teubner Verlag.
ISBN
978-3-8348-0170-8 .
Albeverio, Sergio; Marcolli, Matilde; Paycha, Sylvie; Plazas, Jorge (2008).
Traces in Number Theory, Geometry and Quantum Fields . Vieweg+Teubner Verlag.
ISBN
9783834803719 .
Khalkhali, Masoud; Marcolli, Matilde (2008).
An Invitation to Noncommutative Geometry . World Scientific.
ISBN
9789812706164 .
Ceyhan, Özgür; Manin, Yu I.; Marcolli, Matilde (2010).
Arithmetic and Geometry Around Quantization . Springer.
ISBN
9780817648312 .
Abbaspour, Hossein; Marcolli, Matilde; Tradler, Thomas (2010).
Deformation spaces : perspectives on algebro-geometric moduli . Vieweg+Teubner.
ISBN
978-3-8348-1271-1 .
Marcolli, Matilde; Parashar, Deepak (2011). Quantum groups and noncommutative spaces perspectives on quantum geometry: a publication of the Max-Planck-Institute for Mathematics, Bonn . Vieweg + Teubner.
ISBN
9783834814425 .
OCLC
793144094 .
References
Citations
^
"Renzo A. Piccinini" . Archived from
the original on 2011-10-06. Retrieved 2011-04-05 .
^
"Data sheet" . www-math.mit.edu . Archived from
the original on 2011-06-08. Retrieved 2011-04-05 .
^
"Three new appointments bolster mathematics, cosmology at Perimeter | Perimeter Institute" . www.perimeterinstitute.ca .
^
"Matilde Marcolli" . www.its.caltech.edu .
^ Marcolli, Matilde; Wang, Bai-Ling (2001). "Equivariant Seiberg-Witten Floer homology". Communications in Analysis and Geometry . 9 (3): 451–639.
arXiv :
dg-ga/9606003 .
doi :
10.4310/cag.2001.v9.n3.a1 .
ISSN
1019-8385 .
S2CID
119642585 .
^ 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 .
S2CID
54889038 .
^ Connes, Alain; Marcolli, Matilde (2004).
"Renormalization and motivic Galois theory" . International Mathematics Research Notices . 2004 (76): 4073.
arXiv :
math/0409306 .
Bibcode :
2004math......9306C .
doi :
10.1155/s1073792804143122 .
ISSN
1073-7928 .
S2CID
6972128 .
^ 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 ,
S2CID
115824924
^ Cornelissen, Gunther; Marcolli, Matilde (2010). "Quantum Statistical Mechanics, L-series and Anabelian Geometry".
arXiv :
1009.0736 .
Bibcode :
2010arXiv1009.0736C .
^ 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 .
S2CID
2811269 .
^ 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.
arXiv :
hep-th/0610241 .
doi :
10.4310/atmp.2007.v11.n6.a3 .
ISSN
1095-0761 .
S2CID
9042911 .
^ 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 .
Bibcode :
2010CQGra..27t5025D .
doi :
10.1088/0264-9381/27/20/205025 .
ISSN
0264-9381 .
S2CID
784922 .
^ Cornelissen, Gunther; Marcolli, Matildedate=2010.
"Early Universe models from Noncommutative Geometry" . Advances in Theoretical and Mathematical Physics . 14 (5): 1373–1432.
arXiv :
0908.3683 .
Bibcode :
2009arXiv0908.3683M .
doi :
10.4310/ATMP.2010.v14.n5.a2 . {{
cite journal }}
: CS1 maint: numeric names: authors list (
link )
^ Cornelissen, Gunther; Marcolli, Matilde; Teh, Kevin (2011). "The spectral action and cosmic topology". Commun. Math. Phys . 304 (1): 125–174.
arXiv :
1005.2256 .
Bibcode :
2011CMaPh.304..125M .
CiteSeerX
10.1.1.750.9746 .
doi :
10.1007/s00220-011-1211-3 .
S2CID
17993811 .
^ 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 .
Bibcode :
1999math.....11102M .
doi :
10.1142/s0219199799000213 .
ISSN
0219-1997 .
S2CID
14332705 .
^ 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 .
Bibcode :
2001CMaPh.217...55M .
doi :
10.1007/s002200000351 .
ISSN
0010-3616 .
S2CID
16204516 .
^
"Matilde Marcolli: Collaborators and Students" . www.its.caltech.edu .
^
"Matilde Marcolli - the Mathematics Genealogy Project" .
^
"DFG - Deutsche Forschungsgemeinschaft - Heinz Maier-Leibnitz-Preis 2001" . www.dfg.de .
^
"Mathmatecs people" (PDF) . www.ams.org .
^
"Guide to Amsterdam 5th European Mathematical Congress" . www.5ecm.nl . Archived from
the original on 2010-08-01. Retrieved 2011-04-05 .
^
"International Congress of Mathematicians 2010, Hyderabad" . Archived from
the original on 2010-02-08. Retrieved 2010-02-17 .
^ Reviews of Lumen Naturae :
Sources
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 .
S2CID
16472497 .
Aluffi, Paolo; Marcolli, Matilde (2009). "Feynman motives of banana graphs". Communications in Number Theory and Physics . 3 (1): 1–57.
arXiv :
0807.1690 .
doi :
10.4310/cntp.2009.v3.n1.a1 .
ISSN
1931-4523 .
S2CID
13693830 .
Aluffi, Paolo; Marcolli, Matilde (2010). "Parametric Feynman integrals and determinant hypersurfaces". Advances in Theoretical and Mathematical Physics . 14 (3): 911–964.
arXiv :
0901.2107 .
doi :
10.4310/atmp.2010.v14.n3.a5 .
ISSN
1095-0761 .
S2CID
5837709 .
M.Marcolli, Motivic renormalization and singularities to appear in "Quanta of Maths, in honor of Alain Connes" Clay Mathematical Institute, 2010.
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 .
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 ,
S2CID
118448256
Consani, Caterina; Marcolli, Matilde (April 2007). "Quantum statistical mechanics over function fields". Journal of Number Theory . 123 (2): 487–528.
arXiv :
math/0607363 .
doi :
10.1016/j.jnt.2006.12.002 .
ISSN
0022-314X .
S2CID
6463392 .
Connes, Alain; Consani, Caterina; Marcolli, Matilde (2009), "The Weil Proof and the Geometry of the Adelès Class Space", Algebra, Arithmetic, and Geometry , Progress in Mathematics, vol. 269, Birkhäuser Boston, pp. 339–405,
arXiv :
math/0703392 ,
doi :
10.1007/978-0-8176-4745-2_8 ,
ISBN
9780817647445 ,
S2CID
6527362
Connes, Alain; Consani, Caterina; Marcolli, Matilde (October 2007).
"Noncommutative geometry and motives: The thermodynamics of endomotives" .
Advances in Mathematics . 214 (2): 761–831.
arXiv :
math/0512138 .
doi :
10.1016/j.aim.2007.03.006 .
ISSN
0001-8708 .
S2CID
6255128 .
Connes, Alain; Marcolli, Matilde; Ramachandran, Niranjan (2005-12-28). "KMS states and complex multiplication". Selecta Mathematica . 11 (3–4): 325–347.
arXiv :
math/0501424 .
Bibcode :
2005math......1424C .
doi :
10.1007/s00029-005-0013-x .
ISSN
1022-1824 .
S2CID
10792121 .
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.
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 .
S2CID
51793790 .
Marcolli, Matilde (February 2003).
"Limiting modular symbols and the Lyapunov spectrum" . Journal of Number Theory . 98 (2): 348–376.
arXiv :
math/0111093 .
doi :
10.1016/s0022-314x(02)00044-6 .
ISSN
0022-314X .
Manin, Yuri I.; Marcolli, Matilde (2001).
"Holography principle and arithmetic of algebraic curves" . Advances in Theoretical and Mathematical Physics . 5 (3): 617–650.
arXiv :
hep-th/0201036 .
doi :
10.4310/atmp.2001.v5.n3.a6 .
ISSN
1095-0761 .
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 .
S2CID
17383784 .
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 .
Bibcode :
2010PhLB..693..166K .
doi :
10.1016/j.physletb.2010.08.018 .
ISSN
0370-2693 .
S2CID
1030713 .
External links
International National Academics Other