Math-Phys-Cat is a Brazilian research group concerned with Mathematical-Physics, categorification and higher category theory and physics. We are mainly interested in mathematical aspects of classical and quantum field theories, especially those involving category theory and gauge theory, also in the axiomatization problem of astrophysics and in using category-theoretic language in order to unify and abstract concepts in classical algebra and in differential geometry.
Website: math-phys.group.
On the birth of the group: Mathematical Physics or Mathematical-Physics?.
We also have a blog, where we write about our works. There you will also find a column, called This Quarterly Finds on Math-Phys-Cat Group in honor to Baez’s seminal This Week’s Finds on Mathematical Physics, where quarterly we present what our group has been doing.
You can also find us on: Twitter, arXiv, Researchgate, mathoverflow, ORCID, Zenodo, etc.
The best way to contact us is through the email contact@math-phys.group
.
We also have a Zulipchat. If would like to join us, please, contact us.
Since it was created, our group has been offered courses, minicourses and a lot of student seminars (a weekly seminar where the students present his studies). See here. For some of them a detailed schedule and lecture notes are available.
We started online Group Seminars, weekly seminars, where in each week a different member present something related with his work. External speakers are welcome. If you are interested, please, contact us.
For the schedule and slides, see here;
For video recordings, see our Youtube Channel. Currently it is being update every Wednesday, after the seminars.
See also here. We are fully open for new members and new interactions. If you are interested, please, contact us.
For a selected list of publications, see here. For the list of members involved in each topic, see our website.
algebra-valued gauge theories;
obstruction theory applied to gauge theories;
mathematical dualities between gauge theories;
extensions of gauge theories;
emergence theory for Lagrangian field theories;
classification methods on gravity theories;
topological and geometric investigations in superstring theory.
quantum dualities and anomalies in perturbative gauge theories;
investigations in loop quantum gravity;
many-body systems;
quantum information and quantum comunication;
open systems and reduced dynamics.
regularity theory in structured manifolds and others smooth spaces;
general theory of graded and supermanifolds;
localization theory on complex supermanifolds;
holomorphic Poisson geometry;
geometry of co-Higgs Sheaves;
general symplectic geometry and Dirac manifolds
geometric methods in partial differential equations;
singularity theory (Milnor fibrations, Thom-regularity, etc.)
sheaf-theoretic aspects and cohomology of supermanifolds;
investigations in noncommutative algebraic geometry
categorification of standard results in algebra and differential geometry;
axiomatization of stellar systems;
obstruction theory on Astrophysics;
elliptic methods on Astrophysics;
investigations on early Universe;
dark matter and dark energy;
quantum cosmology models;
methods of QFT on curved spaces applied to Cosmology.
Our group does not receive any outside assistance. Since the process of maintaining, organizing and updating a website and their related social medias requires expensive time, which sometimes is not so recognized, in this page we would like to make explicit these hidden people and their very important work. The following is the current list of people with their corresponding internal concern. It may change over time. It is not displayed in order of importance.
Yuri Ximenes Martins: admin and owner of the domain math-phys.group
Mayk Alves de Andrade: translator (notice that our site is also available in Brazilian portuguese)
Cyro Barros Murgulo: translator
Bryant Rosado Silva: Twitter (where the news of our group are released)
Douglas Vilela de Paiva Silva: Academia.edu and Mendeley (repositories where our works are uploaded)
Pedro Brunialti Lima de Andrade: updater (responsible for collecting new information and doing a quarterly update of the fundamental data of our website)
Daniel de Souza Plácido Teixeira: creator and organizer of Zulip (where the discussion are being made) and our group seminar.
Last revised on November 23, 2020 at 14:26:49. See the history of this page for a list of all contributions to it.