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According to Wikipedia , Caterina Consani is an Italian mathematician specializing in arithmetic geometry. She is a professor of mathematics at Johns Hopkins University. Contributions Consani is the namesake of the Consani–Scholten quintic, a quintic threefold that she described with Jasper Scholten in 2001, and of the Connes–Consani plane connection, a relationship between the field with one element and certain group actionss on projective spaces investigated by Consani with Alain Connes. She is also known for her work with Matilde Marcolli on Arakelov theory and noncommutative geometry.
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Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
2000 2010 2020 0 12.5 25 37.5 50 62.5 75 87.5 100 112.5 125 137.5 150 162.5 Published Works The hyperring of adèle classes (2011) Schemes over 𝔽1 and zeta functions (2009) Noncommutative geometry and motives: The thermodynamics of endomotives (2005) From monoids to hyperstructures: in search of an absolute arithmetic (2010) (66)On the notion of geometry over $\F_1$ (2008) (62)The Arithmetic Site (2014) Double Complexes and Euler L-Factors (1998) On the notion of geometry over (2010) Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry (2004) Fun with $\F_1$ (2008) Geometry of the Arithmetic Site (2015) Characteristic one, entropy and the absolute point (2009) (41)Characteristic 1 , entropy and the absolute point (1997) (40)Fun with F1 (2009) (35)The Weil Proof and the Geometry of the Adèles Class Space (2007) ARITHMETIC ON A QUINTIC THREEFOLD (2001) Spectral triples from Mumford curves (2002) Universal Thickening of the Field of Real Numbers (2012) On the cusp form motives in genus 1 and level 1 (2005) Cyclic homology, Serre's local factors and the -operations (2012) Homological algebra in characteristic one (2017) Quantum statistical mechanics over function fields (2006) On the arithmetic of the BC-system (2011) Geometry of the scaling site (2016) Absolute algebra and Segal's Γ-rings: Au dessous de Spec(Z)‾ (2016) New perspectives in Arakelov geometry (2002) Noncommutative geometry, arithmetic, and related topics : proceedings of the Twenty-first Meeting of the Japan-U.S. Mathematics Institute (2011) (15)Projective geometry in characteristic one and the epicyclic category (2013) The universal thickening of the eld of real numbers (2012) (14)The Scaling Site (2015) Cyclic structures and the topos of simplicial sets (2013) On Absolute Algebraic Geometry, the affine case (2019) Absolute algebra and Segal's Gamma sets (2015) (12)Noncommutative Geometry and Number Theory (2006) Cyclic homology, Serre's local factors and the $\lambda$-operations (2012) (8)The hyperring of ad\`ele classes (2010) (8)The scaling Hamiltonian (2019) Archimedean cohomology revisited (2004) Weil positivity and trace formula the archimedean place (2020) Segal’s Gamma rings and universal arithmetic (2020) The Riemann–Roch strategy (2018) The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch) (1998) SpecZ and the Gromov norm (2019) (6)The cyclic and epicyclic sites (2014) Quasi-inner functions and local factors (2020) Non-commutative geometry, dynamics, and infinity-adic Arakelov geometry (2002) (4)K-theory of blow-ups and vector bundles on the cone over a surface (1993) Geometry and arithmetic on a quintic threefold (2000) (2)$\overline{Spec\mathbb Z}$ and the Gromov norm (2019) (2)Spectral Triples and Zeta-Cycles (2021) (2)Riemann-Roch for Spec Z (2022) (1)Noncommutative geometry and motives (a quoi servent les endomotifs (2007) Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics (2006) (1)The Picard-Lefschetz formula and a conjecture of Kato: The case of Lefschetz fibrations (2002) ON THE CONNES-CONSANI-SOULE TYPE ZETA FUNCTION FOR F1-SCHEMES (2011) (0)Schemes over F1 and . . . (2009) (0)Hochschild homology, trace map and $\zeta$-cycles (2022) Geometry of the scaling site (2017) Cyclic theory and the pericyclic category (2022) (0)Spectral triples in Arakelov geometry (2002) (0)2 9 M ay 2 00 2 Non – commutative geometry , dynamics , and ∞ – adic Arakelov geometry (2008) (0)Number theory / Algebraic geometry The Arithmetic Site ✩ Le Site arithmétique (2014) (0)Riemann-Roch for $\overline{\text{Spec}\mathbb Z}$ (2022) (0)Weil positivity and trace formula the archimedean place (2021) Triplets Spectraux En Géométrie D'arakelov Spectral Triples in Arakelov Geometry Abridged English Version (2002) (0)N T ] 1 2 Ju n 20 03 Spectral triples from Mumford curves (2003) (0)BC-system, absolute cyclotomy and the quantized calculus (2021) (0)2 7 O ct 2 00 3 New perspectives in Arakelov geometry (2004) (0)1 SPECTRAL TRIPLES and ζ-CYCLES (2021) (0)More Papers This paper list is powered by the following services:
Other Resources About Caterina Consani What Schools Are Affiliated With Caterina Consani? Caterina Consani is affiliated with the following schools:
