Matilde Marcolli

Matilde Marcolli is an Italian 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 a professor in the mathematics department of the University of Toronto and a member of the Perimeter Institute.[1]

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

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.[2] 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.[3]

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 2018 she was a full professor of Mathematics in the Division of Physics, Mathematics and Astronomy of the California Institute of Technology. She is currently a professor in the mathematics department of the University of Toronto and a member of the Perimeter Institute.

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 has collaborated with several other mathematicians and physicists,[17] 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)[18] and in 2002 the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation.[19] She was a plenary speaker in the 2008 European Congress of Mathematics in Amsterdam (with a talk on Renormalization, Galois symmetries and motives)[20] and an invited speaker of the 2010 International Congress of Mathematicians in Hyderabad (with a talk on Noncommutative Geometry and Arithmetic).[21]

Books authored
  • Marcolli, Matilde (1999). Seiberg-Witten gauge theory. New Delhi: Hindustan Book Agency. ISBN 9788185931227. OCLC 468606720.
  • Marcolli, Matilde; Manin, Jurij Ivanovič (2005). Arithmetic Noncommutative Geometry. American Mathematical Society. ISBN 9780821838334.
  • Connes, Alain; Marcolli, Matilde (2008). Noncommutative Geometry, Quantum Fields and Motives. American Mathematical Society. ISBN 9780821874783.
  • Marcolli, Matilde (2010). Feynman Motives. Singapore: World Scientific. ISBN 9789814271202.
  • Matilde, Marcolli (2017). Noncommutative Cosmology. Singapore: World Scientific. ISBN 9789813202863.
  • Marcolli, Matilde (2020). Lumen Naturae: Visions of the Abstract in Art and Mathematics. MIT Press. ISBN 9780262043908.

Books edited

References
Citations
  1. "Three new appointments bolster mathematics, cosmology at Perimeter | Perimeter Institute". www.perimeterinstitute.ca.
  2. "Renzo A. Piccinini". Archived from the original on 2011-10-06. Retrieved 2011-04-05.
  3. "Data sheet". www-math.mit.edu.
  4. "Matilde Marcolli". www.its.caltech.edu.
  5. 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.
  6. 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.
  7. 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.
  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, S2CID 115824924
  9. Cornelissen, Gunther; Marcolli, Matilde (2010). "Quantum Statistical Mechanics, L-series and Anabelian Geometry". arXiv:1009.0736. Bibcode:2010arXiv1009.0736C. Cite journal requires |journal= (help)
  10. 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.
  11. 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.
  12. 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.
  13. Cornelissen, Gunther; Marcolli, Matilde (2009). "Early Universe models from Noncommutative Geometry". arXiv:0908.3683. Bibcode:2009arXiv0908.3683M. Cite journal requires |journal= (help)
  14. 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.
  15. 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.
  16. 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.
  17. "Matilde Marcolli: Collaborators and Students". www.its.caltech.edu.
  18. "DFG - Deutsche Forschungsgemeinschaft - Heinz Maier-Leibnitz-Preis 2001". www.dfg.de.
  19. "Mathmatecs people" (PDF). www.ams.org.
  20. "Guide to Amsterdam 5th European Mathematical Congress". www.5ecm.nl. Archived from the original on 2010-08-01. Retrieved 2011-04-05.
  21. "Archived copy". Archived from the original on 2010-02-08. Retrieved 2010-02-17.CS1 maint: archived copy as title (link)
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