The hottest Mathematics Substack posts right now

And their main takeaways
Category
Top Science Topics

Quick updates.

Quantum Formalism • 0 implied HN points • 26 Aug 22
🚌 Education Mathematics
  1. Group theory session today starting an hour later, registration page for attendance available
  2. Measure Theory & Functional Analysis (MTFA) course soon to release first lecture, homework challenge on GitHub
  3. QF LinkedIn page created, Discord community for group study sessions

Lecture 12 Invitation (Group theory)

Quantum Formalism • 0 implied HN points • 11 Aug 22
🚌 Education Mathematics
  1. Tomorrow's session will cover group actions after wrapping up cycle stuff.
  2. A live Q&A session with James on Measure Theory & Functional Analysis will be on August 20th at 11:00am Eastern time.
  3. Join the Discord Community to participate in group study sessions and get updates on Crowdcast live study sessions.

Measure Theory & Functional Analysis

Quantum Formalism • 0 implied HN points • 27 Jul 22
🚌 Education Mathematics
  1. The course on Measure Theory & Functional Analysis will start on Monday, August 29 with a new format focusing on pre-recorded lectures released on YouTube and live discussion forums on weekends.
  2. The course will cover topics including Measurable Functions, Integration Theorems, and advance to topics like Normed Vector Spaces and Hilbert Spaces.
  3. James Heffers, a Postdoctoral Assistant Professor at the University of Michigan, will be the lecturer for this course aiming to scale community initiatives and offer more courses.

Lecture 11 Rescheduled for July 29!

Quantum Formalism • 0 implied HN points • 21 Jul 22
🚌 Education Mathematics
  1. Lecture 11 has been rescheduled to July 29 due to a disrupted schedule from a heat wave in the UK.
  2. There will be upcoming updates on Measure Theory & Functional Analysis course and community activities.
  3. The sponsor of LOGML Summer School emphasizes the potential benefits of applying modern Geometry to Machine Learning.
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Lecture 08 Rescheduled for Friday, July 10.

Quantum Formalism • 0 implied HN points • 07 Jun 22
🚌 Education Mathematics
  1. Lecture 8 of the Group Theory Crash Course has been rescheduled for Friday, July 10th.
  2. There's a YouTube playlist with recordings of previous live sessions available for those who missed them.
  3. You can join the Discord Community to participate in group study sessions and stay updated on the course.

Lecture 06 Invitation

Quantum Formalism • 0 implied HN points • 02 May 22
🚌 Education Mathematics
  1. Next live session information available for registration on the Crowdcast platform
  2. Missed live sessions' recordings accessible on YouTube
  3. Encouragement to join the Discord community for organizing group study sessions

30 Minutes Delay!

Quantum Formalism • 0 implied HN points • 22 Apr 22
🚌 Education Mathematics
  1. The session will start 30 minutes late due to a company meeting running longer than expected.
  2. The link to attend the session is provided for easy access.
  3. The delay was communicated by Bambordé Baldé, the organizer of the group theory lecture.

Lecture 05 Invitation

Quantum Formalism • 0 implied HN points • 19 Apr 22
🚌 Education Mathematics
  1. Registration is open for the next live session about Group Theory Crash Course.
  2. A talk by Bambordé about exposing Abstract Mathematical Structures to Aspiring Quantum Computing Pros will be held on May 21st.
  3. If you missed any live sessions, recordings are available on the YouTube playlist. Join the Discord community for group study sessions.

Lecture 04 Invitation

Quantum Formalism • 0 implied HN points • 01 Apr 22
🚌 Education Mathematics
  1. Attend Bambordé's talk on Abstract Mathematical Structures for Quantum Computing on May 21st at 1:00 PM EDT by registering at the provided link.
  2. Catch up on missed live sessions of the Group Theory Crash Course by accessing the recordings on the YouTube playlist shared.
  3. Join the Discord Community at the provided link to participate in group study sessions and engage with other members.

Group theory: Pre-course Q&As

Quantum Formalism • 0 implied HN points • 16 Feb 22
🚌 Education Mathematics
  1. A Group theory crash course is starting soon with a pre-course presentation where the approach and tips will be shared.
  2. There is a registration link for the pre-course presentation session, and a recording will be available for those who cannot attend.
  3. Participants are encouraged to fill out a short survey to help adjust the course's level of abstraction and join the Discord Server for study sessions.

Lecture 9 Replay + The Next Steps

Quantum Formalism • 0 implied HN points • 15 Nov 21
🚌 Education Mathematics
  1. The crash course introducing the notion of a 'smooth manifold' has concluded, preparing participants for the next module on Lie Groups, Lie Algebras & Representations.
  2. Certificates of Attendance and Completion are available upon request for auditing the crash course live or via the YouTube playlist, with different types of certificates offered.
  3. There will be a session on the industry career fellowship scheme for those who have expressed interest.

Lecture 08 Replay

Quantum Formalism • 0 implied HN points • 01 Nov 21
🚌 Education Mathematics
  1. The lecture covered the concept of a 'smooth manifold' which is crucial for understanding 'Lie Groups' to be discussed in Module II.
  2. Upcoming topics include diffeomorphisms, classification of smooth manifolds with interesting facts about certain dimensions like dimension 4.
  3. The crash course will end after Lecture 9, but extra sessions on advanced topics like fibre bundles are planned after career and hackathon Q&A sessions.

Noncommutative Geometry!

Quantum Formalism • 0 implied HN points • 21 Oct 21
🔬 Science Mathematics
  1. There will be a crash course on Noncommutative Geometry and its applications in 2022.
  2. At Zaiku Group, pure mathematics is important, and they support making advanced mathematical topics more accessible.
  3. For those eager to learn now, Alain Connes's book on Noncommutative Geometry is recommended.

Quantum Formalism 2022 Hackathon

Quantum Formalism • 0 implied HN points • 18 Oct 21
🕹 Technology Mathematics
  1. The Quantum Formalism 2022 Hackathon focuses on showcasing mathematical knowledge in code, open to teams of up to three people with cash prizes and internship opportunities.
  2. Participants must apply through a Google form to be considered for the hackathon.
  3. All the code and assets created during the hackathon will be open-sourced.

Lecture 6 (Manifolds) Replay

Quantum Formalism • 0 implied HN points • 02 Oct 21
🚌 Education Mathematics
  1. The lecture 6 replay on manifolds is available on the YouTube playlist for the crash course.
  2. Registration for lecture 7 is now open via a link provided.
  3. Joining the Discord community server is encouraged by the author for further engagement.

One Year Anniversary!

Quantum Formalism • 0 implied HN points • 20 Sep 21
🔬 Science Mathematics
  1. It has been a year since the quantumformalism.com community started, aiming to make abstract mathematics accessible to STEM professionals, especially those interested in quantum computing and AI like Geometric Deep Learning.
  2. Acknowledging and thanking Bambordé Baldé for delivering weekly lectures despite a busy schedule is appreciated and encouraged on social media or Discord.
  3. Congratulations to the participants for stepping out of their comfort zones and engaging with abstract mathematical topics through the Quantum Formalism community.

Feynman: Mathematicians vs Physicists

Quantum Formalism • 0 implied HN points • 07 Sep 21
🔬 Science Mathematics
  1. Feynman highlighted the cultural differences between mathematicians and physicists, emphasizing that mathematicians have the freedom to do things their way without criticism.
  2. Feynman's invention of the 'Feynman Path Integral' showcased that innovative techniques can produce results even without strict mathematical rigor.
  3. The talk underlines the importance of individual freedom in pursuing different approaches to problem-solving in science.

Lecture 3 Registration

Quantum Formalism • 0 implied HN points • 26 Jul 21
🚌 Education Mathematics
  1. Registration for Lecture 3 on topology is open via a provided link.
  2. Reviewing basic concepts from real analysis like open intervals and closed intervals is recommended for better understanding.
  3. Joining the Discord community server is encouraged, and a webinar on the application of Maths and Computing in various fields is scheduled.

Lecture #1 Registration

Quantum Formalism • 0 implied HN points • 22 Jun 21
🚌 Education Mathematics
  1. The preferred start date for the first lecture is July 2.
  2. Core concepts covered in the first lecture include topological spaces, closed sets, subspace topology, and neighborhoods.
  3. If time permits, there will be a brief introduction to fibre bundles and the algebra of smooth maps.

See you on Friday, June 25.

Quantum Formalism • 0 implied HN points • 29 May 21
🔬 Science Mathematics
  1. Embrace abstraction and take the abstraction red pill!
  2. Approach abstract concepts one step at a time to understand them better.
  3. Build your own intuition of abstract concepts and challenge yourself to do proofs before checking others'.

Lie Theory Prerequisite

Quantum Formalism • 0 implied HN points • 28 Apr 21
🔬 Science Mathematics
  1. The post provides a crash course motivation and schedule for Lie Theory, encouraging viewers to watch preparatory material on YouTube and offering usage cases outside of mathematics for motivation.
  2. Highlighted articles and studies demonstrate real-world applications of Lie Theory in areas like quantum computation, deep learning, and unitary operators in quantum mechanics.
  3. The presenter provides access to slides and recommended study materials on GitHub, emphasizing the importance of preparation before the upcoming course session on Lie Theory.

Latest Community updates

Quantum Formalism • 0 implied HN points • 12 Apr 21
🚌 Education Mathematics
  1. The Lie Theory prerequisite mini-series will focus on point-set topology, metric spaces, and basics of differentiable manifolds.
  2. Reviewing basics of set theory, including intersections, unions, Cartesian products, and maps between sets, is recommended for the upcoming lectures.
  3. While the Lie Theory module may not be sufficient to understand Eric Weinstein's 'Geometric Unity' paper, it provides a foundational knowledge base that can ease the understanding of complex topics in differential geometry and topology.

Lie Theory Module Prerequisite

Quantum Formalism • 0 implied HN points • 30 Mar 21
🚌 Education Mathematics
  1. Next module's prerequisite sessions are expected to start in June with a focus on Point-Set Topology & Metric Spaces.
  2. Following topics will include Topological Manifolds 101 and Representation Theory 101 before progressing to Lie Theory in Autumn.
  3. An additional free course planned by Zaiku Group later this year will cover Algebraic Topology & Topological Data Analysis, which will overlap with the prerequisite sessions.

Final session!

Quantum Formalism • 0 implied HN points • 30 Jan 21
🚌 Education Mathematics
  1. The final session of the quantum formalism foundation module is available on YouTube, wrapping up a four-month virtual learning journey exploring abstract mathematical structures like groups in quantum mechanics.
  2. Individual or group submissions related to mathematics are required for certification for this module, which may lead to potential fast-track applications for entry-level technical roles at Zaiku Group.
  3. Zaiku Group is looking for individuals with a solid understanding of mathematics for roles in Computational Algebraic Topology, Homomorphic Encryption, and Quantum Algorithms pertaining to the NISQ era.

Final Session Invitation!

Quantum Formalism • 0 implied HN points • 28 Jan 21
🚌 Education Mathematics
  1. The final session of the foundation module will cover topics such as Compatible & Incompatible Operators, Time-Translation Symmetry, Quantum Integrable Systems, Quantum Axioms, Composite Quantum Systems, and Quantum Entanglement.
  2. Newcomers are welcome to join the final session, but it's recommended to have covered the previous sessions or have some background in university-level physics/mathematics to fully follow along.
  3. The registration link for the final session can be accessed at https://www.crowdcast.io/e/lecture-17-quantum-formalism.

Session 15 Reminder

Quantum Formalism • 0 implied HN points • 14 Jan 21
🚌 Education Mathematics
  1. The session covers topics like Eigenvectors & Eigenvalues, Spectrum & Eigenspaces, Diagonalization, and The Spectral Theorem for Hermitian matrices.
  2. Newcomers are welcome, but may find it challenging if they haven't covered previous sessions or don't have a background in relevant university-level physics/mathematics.
  3. The upcoming session will focus on Quantum Axioms, the Shut up & Calculate Challenge, and Study Material Comments.

Lecture 14 Invitation

Quantum Formalism • 0 implied HN points • 04 Jan 21
🚌 Education Mathematics
  1. The invitation for Lecture 14 has been shared with details for the upcoming session.
  2. Newcomers are welcome, but it is advised to have a background in university-level physics and mathematics to follow along effectively.
  3. The registration link for the session is available for those who are interested in attending.

2020 Wrap-Up Comments

Quantum Formalism • 0 implied HN points • 20 Dec 20
🚌 Education Mathematics
  1. Research talks have shifted online, making knowledge more accessible worldwide.
  2. Online quantum computation courses are on the rise, focusing more on mathematics for deeper understanding.
  3. Emphasizing mathematical knowledge can help talented individuals create groundbreaking quantum algorithms.

Last 2020 Lecture!

Quantum Formalism • 0 implied HN points • 17 Dec 20
🚌 Education Mathematics
  1. The last session of 2020 will cover topics like normalised vectors, orthogonal vectors, and orthonormal bases.
  2. The lecture will also discuss topics such as bras, the dual space, and the Riesz Representation Theorem.
  3. Newcomers are welcome to join the lecture, but may find it challenging if they haven't attended previous sessions or lack an advanced background in physics/mathematics.

Lecture 12

Quantum Formalism • 0 implied HN points • 11 Dec 20
🚌 Education Mathematics
  1. The lecture covers complex Hilbert spaces and delves into functional analysis
  2. The module will explore non-algebraic concepts alongside finite-dimensional Hilbert spaces
  3. There is a fireside chat event scheduled for Tuesday

Lecture 10

Quantum Formalism • 0 implied HN points • 27 Nov 20
🔬 Science Mathematics
  1. The lecture covers the general linear group GL(2, C) and the special linear group SL(2, C).
  2. Future sessions will discuss the unitary group U(2) and the special unitary group SU(2).
  3. There are concerns about YouTube running ads on videos, potentially leading to removal of lecture videos due to content disagreements and algorithm filtering issues.

Mathematical Proof Resources

Quantum Formalism • 0 implied HN points • 23 Nov 20
🚌 Education Mathematics
  1. Mathematical proofs are essential for theoretical advancements in quantum information and mechanics.
  2. Resources like the Lean and Coq projects offer tools for proof assistance and management.
  3. Attending live sessions like 'Matrix Groups - Part 1' can offer valuable insights for enthusiasts.

Lecture 9

Quantum Formalism • 0 implied HN points • 13 Nov 20
🚌 Education Mathematics
  1. Lecture 9 covers matrix algebra with a focus on unitary group U(2) and special unitary group SU(2).
  2. There will be a break next week, with the next session resuming on Friday, November 27th.
  3. Future sections will cover U(n) and SU(n) for n greater than 2.

Lecture 9 Invite + Nicolas Bourbaki

Quantum Formalism • 0 implied HN points • 10 Nov 20
🔬 Science Mathematics
  1. Invitations have been sent out for the next live session, so make sure to check your email if you attended the previous one.
  2. There is a group called Nicolas Bourbaki, a secretive math society that has notable members like Jean-Pierre Serre and Alain Connes.
  3. Noncommutative Geometry and C*-algebras, topics linked to physics, will be covered in the advanced module next year.

Lecture 8

Quantum Formalism • 0 implied HN points • 07 Nov 20
🚌 Education Mathematics
  1. Lecture 8 covers Matrix Algebra - Part 1 as preparation for upcoming discussions on matrix groups like U(n) and SU(n).
  2. A future advanced module will delve into Lie Groups & Lie Algebras, offering an in-depth exploration.
  3. Links to lecture slides and Gitter community are provided for further engagement and resources.