Definition: *August 2016* means August 8-31, 2016. *Fall* refers to September to December.

This page includes:
Progress log |
Tasks at a glance |
Current problems

Black -- Writing;

- August 8-12
- 8:
Reorganized "Past scientific projects" on main webpage, and set up this webpage for August 2016. √ - 8:
Searched for and organized recent references on boundaries and domain walls: Wan, Jurgen, Kong/Kitaev. - 9:
Searched for and organized recent references on boundaries and domain walls: Kirillov. - 9:
Attended PSI's Classical Mechanics lecture #1, and met Alvaro (PSIon) and discussed lecture material over lunch. √ - 9:
Started reading Hung and Wan's paper "Generalized ADE Classification of Gapped Domain Walls". - 9:
Continued to add and organize references on boundaries and domain walls. - 10:
Weekly day off (Wednesday). - 11:
Attended PSI's Classical Mechanics lecture #3. - 11:
Digested Classical Mechanics lecture #3 notes, came up with questions to ask. √ - 11:
Continued to read Hung and Wan's paper "Generalized ADE Classification of Gapped Domain Walls". - 11:
Attended PSI's Classical Mechanics tutorial #2. - 12:
Attended PSI's Classical Mechanics lecture #4. - 12:
Attended PSI's Classical Mechanics tutorial #3.

- 8:
- August 13-27:
Two-week vacation ... - 13, 15, 16 & 17:
Followed PSI's Classical Mechanics lecture #2. √ - 16, 17, 18 & 20:
Worked on problems from tutorial #2. - 20:
Digested Classical Mechanics lecture #4 notes. √ - 20 & 21:
Followed PSI's Classical Mechanics lecture #5. - 22 & 23:
Followed PSI's Classical Mechanics lecture #6. - 24 & 25:
Followed PSI's Classical Mechanics lecture #7. - 26, 27, 29 & 30:
Followed PSI's Classical Mechanics lecture #8.

- 13, 15, 16 & 17:
- August 29-September 2:
- 29:
Attended PSI's Condensed Matter lecture #1, and had lunch with PSIons. - 30:
Attended PSI's Condensed Matter lecture #2 (late). - 31:
Attended PSI's Condensed Matter lecture #3. - September 1:
Attended the last 15 minutes of PSI's Condensed Matter lecture #4. - 1:
Digested Condensed Matter lecture #1. √ - 2:
Attended PSI's Condensed Matter lecture #5. - 2:
Digested Condensed Matter lecture #2. √

- 29:
- September 6-9:
- 6:
Reviewed Part 1 (Introduction) of my partially-completed thesis. √ - 6-8:
Reviewed Section 2 (The Algebras and Categories) of my thesis, alongside, making a to-read and to-do list for thesis. - 7: Started making a table cateloguing mathematical structures versus physical roles, added to Section 1.2 (The main ideas).
- 8:
Digested Condensed Matter lecture #3. √ - 8:
Reviewed Section 3 (Construction of Bulk QD Models) of my thesis. - 9:
Started using Toggl to track math/physics work time. - 9:
Reviewed Section 3 (Construction of Bulk QD Models) of my thesis. - 9:
Browsed arXiv:1609.02037 (Cong et al.).

- 6:
- September 12-16:
- 12:
Browsed arXiv:1609.02037 (Cong et al.). - 13:
Browsed arXiv:1609.02037 (Cong et al.). - 14:
Browsed arXiv:1609.02037 (Cong et al.). - 15:
Browsed arXiv:1609.02037 (Cong et al.). - 16:
Browsed arXiv:1609.02037 (Cong et al.).

- 12:
- September 20-23:
- 20:
Browsed arXiv:1609.02037 (Cong et al.). - 21:
Browsed arXiv:1609.02037 (Cong et al.). - 22:
Browsed arXiv:1609.02037 (Cong et al.). - 23:
Browsed relevant parts of arXiv:1609.02037 (Cong et al.). √ - 23:
Briefly reviewed my thesis. - 23:
Studied Fourier transform over finite groups.

- 20:
- September 26-October 1:
- 26:
Reviewed arXiv:0712.0190 (Bombin et al.). - 26:
Compared thesis Hamiltonian with that in arXiv:1609.02037 (Cong et al.). √ - 26: Emailed Joel. √
- 27:
Sick day. - 28:
Reviewed my thesis. - 29:
Worked out kinks in thesis: site independence of Hamiltonian B operators. √ - 29:
Talked to Beni about boundaries (in higher dimensions) and SPT phases. - 29:
Attended Mathematical Physics Seminar by Alex Weekes: Shifted Yangians, loop groups, and (co)products. (Slept a lot.) - 30:
Reviewed my thesis. - 30: Drafted email to Joel (unfinished).
- October 1: Drafted email to Joel (unfinished).
- 1:
Reviewed my thesis.

- 26:
- October 3-9:
- 3:
Worked out kinks in thesis: suitable projections of A and B operators ... - 3:
Managed research to-do list. - 3:
Researched literature for Beni's project. - 3:
Browsed arXiv:1503.07208 (Yoshida). - 3:
Browsed arXiv:1509.03626 (Yoshida). - 4:
Browsed arXiv:1509.03626 (Yoshida). - 5:
Reviewed my thesis. - 6: Emailed Tobias.
- 6:
Followed PSI's Condensed Matter lecture #4 ... - 6:
Reviewed my thesis. - 7:
Reviewed my thesis. - 7:
Meeting with Tobias: Worked through thesis till end of Section 3. - 7: Edited thesis.
- 7:
Worked out kinks in thesis: actions on, and decomposition of, the Kitaev Hilbert space ... - 8: Edited thesis: sent out question, set up meeting.
- 8:
Tried to Google search simple algebra decomposition (bimodule isomorphism). - 8: Emailed Jordan: ask about search techniques on Google.
- 9:
Followed PSI's Condensed Matter lecture #4 ...

- 3:
- October 10-14:
- 10:
Thanksgiving holiday. - 10:
Conducted Google search on left regular representation. - 10:
Conducted library book search on semisimple algebra decomposition. - 10:
Browsed textbook "Groups and Representations". - 11:
Attended PSI's QFT I Lecture #1. - 11:
Reviewed my thesis. - 12:
Reviewed my thesis. - 12:
Reviewed research notebook. - 13: Prepared for talk on arXiv:1609.02037 (Cong et al.)
- 14: Prepared for talk on arXiv:1609.02037 (Cong et al.)
- 14:
Discussion with Tobias.

- 10:
- October 18-22:
- 18:
Organized literature for thesis project and PI desk. - 18:
Managed thesis project to-do list. - 18:
Reviewed my thesis. - 19:
Read notes on "The Peter-Weyl Theorem for Classical and Quantum sl_N". - 19:
Read notes on "Topics on Representation Theory: Finite Groups and Character Theory". - 20:
Read notes on "Topics on Representation Theory: Finite Groups and Character Theory". - 21:
Read notes on "Topics on Representation Theory: Finite Groups and Character Theory". - 22:
Read notes on "Topics on Representation Theory: Finite Groups and Character Theory".

- 18:
- October 26-28:
- 26:
Read notes on "Topics on Representation Theory: Finite Groups and Character Theory". - 26:
Performed Google search on Peter-Weyl Theorem, found a good version for compact groups. - 27:
Read paper on "Characters of Hopf Algebras" (Larson). - 27:
Read notes on "The Representation Ring and the Centre of a Hopf Algebra" (Witherspoon). - 28:
Read notes on "The Representation Ring and the Centre of a Hopf Algebra" (Witherspoon). - 28:
Discussion with Tobias.

- 26:
- November 2-4:
- 2:
Read notes on "The Representation Ring and the Centre of a Hopf Algebra" (Witherspoon). - 2:
Attended Colloquium by Vaughan Jones: Scale invariant transfer matrices and Hamiltonians. - 3:
Read Sujeet's research statement, Part III. - 3:
Brief discussion with Jon Yard: class field theory, Dijkgraaf-Witten theory, and Langlands. - 3:
Attended Mathematical Physics Seminar by Davide Gaiotto: Geometric Langlands applications of boundary field theories. - 3:
Brief discussion with Tobias. - 4:
Set research goals for today. - 4: Drafted email to Tobias (unfinished).
- 4: Read Tobias' email.
- 4:
Managed thesis project to-do list.

- 2:
- November 8:
- 8: Responded to Tobias' email.
- 8: Edited thesis.
- 8: Browsed arXiv:1501.04995 (Gogioso and Zeng).

- November 11:
- 11: Browsed arXiv:1501.04995 (Gogioso and Zeng).

- November 16-19:
- 16: Browsed arXiv:1501.04995 (Gogioso and Zeng).
- 17: Browsed arXiv:1501.04995 (Gogioso and Zeng).
- 18: Browsed arXiv:1501.04995 (Gogioso and Zeng).
- 19: Browsed arXiv:1501.04995 (Gogioso and Zeng).

- November 21-22:
- 21: Browsed arXiv:1501.04995 (Gogioso and Zeng).
- 22:
Discussion with Tobias.

- December: (to be summarized here)
- To-Do:
- ----- for myself -----
- Analyze properties of finite-dimensional Hopf C*-algebra in depth.
- Summarize/process Tobias' notes into my own notebook, or into TeX file.
- Reorganize/clean up my thesis, based on corrections, suggestions and new proofs.
- (Input all edits on current copy of thesis into TeX file.)
- Put in thesis my answer/proof to ToDo 10.
- ----- for next meeting with Tobias -----
- Work on Section 3, Lemma 7, Proposition 8 -- work out action correpondences of L and T operators ... in graphical calculus.
- Further formulate notes for A and B operators, especially the B projection.
- Further my understanding of character theory for finite-dimensional Hopf C*-algebras.
- Write up notes for condensation, based on Cong et al.
- Write up notes for categorical stuff, based on Cong et al.
- Discuss mathematics of higher D boundaries.
- ----- for communications with Joel -----
- Finish reviewing thesis.
- Which element T is used for boundary A operator? Check properties. Email Joel.
- ----- for meeting with Jon -----
- 5: Re-read the Dijkgraaf-Witten paper.
- ----- for talk at group meeting -----
- Articulate what's in Cong and not in Beigi-Shor.
- Follow threads for Cong et al., extract structures.
- ----- for communications with Iris -----
- Ask Iris Questions, fix mistakes(?).
- ----- for meeting with Kevin -----
- ----- for chat with Pavel -----
- ----- for meeting with Beni -----
- Read up Beni's 3 papers on higher-D boundaries.
- Read up (3+1)D gauge theory background papers, referenced by Sujeet.
- -----
- when?:
Followed PSI's Condensed Matter lecture #4. - when?:
Digested Condensed Matter lecture #5. - -----
- Review, reorganize and complete Appendices A & B.
- Reorganize and complete Section 2.
- when?: Organize references for thesis.
- when?: Study references for thesis.
- when?: Read arXiv:1307.8244 (Kong).
- when?: Read about quantum groupoid.
- when?: Input all edits on all old copies of thesis into TeX file.

Black -- Individual work in math/physics/CS;

◊ 1 hour/day;
♣ 2 hours/day;
♦ 3 hours/day;
♥ 4 hours/day;
♠ 5 hours/day;
∇ 6+ hours/day.

OR

◊ 2 sessions/week;
♣ 4 sessions/week;
♦ 6 sessions/week;
♥ 8 sessions/week;
♠ 10 sessions/week.

(1 session = 2-3 hours)

Date | Thesis | HighDBoundaries | DiagrammaticKitaev | Classical mechanics | Condensed matter | Other topics | |||
---|---|---|---|---|---|---|---|---|---|

August 8-12 | |||||||||

August 13-27 | |||||||||

August 29-September 2 | |||||||||

September 6-9 | |||||||||

September 12-16 | |||||||||

September 20-23 | |||||||||

September 26-October 1 | |||||||||

October 3-9 | |||||||||

October 10-14 | |||||||||

October 18-22 | |||||||||

October 26-28 | |||||||||

November 2-4 | |||||||||

November 8 | |||||||||

November 11 | |||||||||

November 16-19 | |||||||||

November 21-22 |

ToDo: 1. Read Dijkgraaf-Witten paper, and write intro. 2. Translate to Hamiltonian. 3. Read Nakahara Sections 5.6.2, 5.6.3 and 5.7.3; reread 10.1 and 10.2. Small puzzles (currently solving Dijkgraaf-Witten): 1. BG ... H^{4}(BG,Z) classifies 3D Chern-Simons gauge theories. 2. Wess-Zumino interactions ... classified by H^{3}(G,Z). 3. 2D sigma models ... map from H^{4}(BG,Z) to H^{3}(G,Z). 4. topological spin theories & chiral superalgebras. 5. 2D (holomorphic) orbifold models. 6. Chern-Simons functional *7. 2-cocycles in definition of fibre bundles versus 3- and 4-cocycles in Dijkgraaf-Witten theory. Large puzzles: 1. Appearance of Drinfeld centre. 2. Relation to CFTs.

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Last Update: April 2012 |