Simone Noja

Hello! I'm a postdoc working at the interface between geometry and mathematical physics.

My research focuses on the mathematical structures arising in supersymmetric field theories and string theory.

In particular, I thought a lot about supergeometry, the mathematical environment to describe supersymmetry in physics.

Recently I have grown more and more interested in the mathematical aspects of BV formalism - in particular higher geometric and algebraic structures.

Curriculum Vitae

Click here for more about myself!

Publications

S. Noja, S. Schmidt, R. Senghaas, On Cubic Dirac Operators for Basic Classical Lie Superalgebras, in preparation
R. Eager, S. Noja, R. Senghaas, J. Walcher, Adinkras and Pure Spinors, arXiv:2404.07167
K. Eder, J. Huerta, S. Noja, Poincaré Duality for Supermanifolds, Higher Cartan Structures and Geometric Supergravity, arXiv:2312.05224
F. Hahner, S. Noja, I. Saberi, J. Walcher, Six-dimensional Supermultiplets from Bundles on Projective Spaces, to appear in Commun. Math. Phys. arXiv:2206.08388
C. A. Cremonini, P.A. Grassi, S. Noja, Cohomology of Lie Superalgebras: Forms, Integral forms and Coset Superspaces, J. Lie Theory, 33 (2) 567-608 (2023) JLT33/JLT332/jlt33024
S. Noja, On the Geometry of Forms on Supermanifolds, Diff. Geom. Appl. 88 101999 (2023) 10.1016/j.difgeo.2023.101999
S. Noja, On BV Supermanifolds and the Super Atiyah Class, Eur. J. Math., 9 (1), 19 (2023) 10.1007/s40879-023-00603-6
S.L. Cacciatori, S. Noja, R. Re, The Universal de Rham / Spencer Double Complex on a Supermanifolds, Doc. Math., 27, 489-518 (2022) 10.25537/dm.2022v27.489-518
S. Noja, R. Re, A Note on Super Koszul Complex and the Berezinian, Ann. Mat. Pura Appl. (1923 - ), 201 (1), 403-421 (2022) 10.1007/s10231-021-01121-6
R. Catenacci, C.A. Cremonini, P.A. Grassi, S. Noja, On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry, Lett. Math. Phys., 111, 44 (2021) 10.1007/s11005-021-01384-3
R. Catenacci, P.A. Grassi, S. Noja, Superstring Field Theory, Superforms and Supergeometry, J. Geom. Phys., 148, (2020) 103559 10.1016/j.geomphys.2019.103559
R. Catenacci, P.A. Grassi, S. Noja, $A_\infty$ -Algebra from Supermanifolds, Ann. Henri Poincaré 20 (12) 4163-4195 (2019) 10.1007/s00023-019-00854-8
S.L. Cacciatori, S. Noja, R. Re, Non Projected Calabi-Yau Supermanifolds over $\mathbb{P}^2$ , Math. Res. Lett., 26 (4) (2019) 1027--1058 10.4310/MRL.2019.v26.n4.a4
S. Noja, Non-Projected Supermanifolds and Embeddings in Super Grassmannians, Universe 4 (11), 114, (2018) - Special Issue "Super Geometry for Super Strings'' 10.3390/universe4110114
S.L. Cacciatori, S. Noja, Projective Superspaces in Practice, J. Geom. Phys., 130 (2018) 40--62 10.1016/j.geomphys.2018.03.021
S. Noja, Supergeometry of $\Pi$ -Projective Spaces, J. Geom. Phys., 124 (2018) 286--299 10.1016/j.geomphys.2017.11.010
S. Noja, S.L. Cacciatori, F. Dalla Piazza, A. Marrani, R. Re, One-Dimensional Super Calabi-Yau Manifolds and their Mirrors, JHEP 1704 (2017) 094 10.1007/JHEP04(2017)094

Current Teaching

Representations of Classical Groups

Past Teaching

Twists on Strings

Mathematical Aspects of String Theory 2

Mathematical Aspects of String Theory 1

Symmetric Functions

Mathematical Quantum Mechanics

Complex Geometry

Supergeometry

Last update on Dec 19, 2024 at 15:28 UTC