Home > Matilde Marcolli > Biography full

Matilde Marcolli

Italian mathematician and physicist

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 aut*d 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 Ins*ute.

Contents

  • 1 Career
  • 2 Research
  • 3 Honors and awards
  • 4 Books aut*d
  • 5 Books edited
  • 6 References
  • 7 External links

Career

Marcolli obtained her Laurea in Physics in 1993 summa * laude from the University of Milan under the supervision of Renzo Piccinini, with a thesis on Cl*es of self equivalences of fibre bundles. 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 M*achusetts Ins*ute of Technology (MIT) as a C.L.E. Moore instructor in the Department of Mathematics.

Between 2000 and 2010 she held a C3 position (German equivalent of *ociate professor) at the Max Planck Ins*ute for Mathematics in Bonn and held an *ociate professor position (courtesy) at Florida State University in Tallah*ee. 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 Ins*ute of Technology. She is currently a professor in the mathematics department of the University of Toronto and a member of the Perimeter Ins*ute.

She held visiting positions at the Tata Ins*ute of Fundamental Research in Mumbai, the Kavli Ins*ute for Theoretical Physics in Santa Barbara, the Mittag-Leffler Ins*ute in Stockholm, the Isaac Newton Ins*ute in Cambridge, and the Mathematical Sciences Research Ins*ute in Berkeley, California.

Research

Marcolli's research work has covered different areas of mathematics and theoretical physics: gauge theory and low-dimensional topology, algebraic-geometric structures in quantum field theory, noncommutative geometry with applications to number theory and to physics models, especially related to particle physics, quantum gravity and cosmology, and to the quantum Hall effect.

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

Books aut*d

  • 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

  • Hertling, Claus; Marcolli, Matilde, eds. (2003). Frobenius Manifolds:: Quantum Co*logy 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-Ins*ute for Mathematics, Bonn. Vieweg + Teubner. ISBN:9783834814425. OCLC:793144094.

References

Citations
    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 Ins*ute, 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
    • 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 Cl* Space", Algebra, Arithmetic, and Geometry, 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. 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. 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

    • Matilde Marcolli at the Mathematics Genealogy Project
    • Homepage at Caltech
    • Homepage at FSU
    • Papers on the eprints ArXiv

    Matilde Marcolli Is A Member Of

    54 Year Olds

    Matilde

    Como, Roman Empire