-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathresearch.html
More file actions
1464 lines (1424 loc) · 79.1 KB
/
research.html
File metadata and controls
1464 lines (1424 loc) · 79.1 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1">
<meta name="description" content="">
<meta name="author" content="">
<link rel="shortcut icon" href="img/icon.png" type="image/x-icon">
<title>Study & Research - Hefeng Xu</title>
<style>
details summary::-webkit-details-marker {
display: none;
}
#bs-example-navbar-collapse-1 li{
float: left;
width: 115px;
line-height:20px;
text-align: center;
position:relative;
border:none;
}
#bs-example-navbar-collapse-1 li a {
font-size:16px;
display:block;
outline:0;
text-decoration:none;
}
#bs-example-navbar-collapse-1 li:hover .dropdown_1column {
left:0px;
top:36px;
}
.dropdown_1column{ /* 下拉菜单边框颜色*/
margin: 0px auto;
position: absolute;
left: -999em;
text-align: left;
border-top: none;
width: 140px;
}
#bs-example-navbar-collapse-1 li:hover div a { /* 下拉菜单文字颜色*/
font-size:12px
;color:#9999;
}
#bs-example-navbar-collapse-1 li:hover div a:hover{color:#e6f8e9;} /*下拉带单鼠标停留颜色*/
#bs-example-navbar-collapse-1 li ul {
list-style:none;padding:10px 5px;
margin:0;
}
#bs-example-navbar-collapse-1 li ul li {
font-size:12px;
line-height:16px;
position:relative;
padding:0;margin:0;
float:none;
text-align:left;
width:130px;
}
#bs-example-navbar-collapse-1 li ul li:hover {
background:none;
border:none;padding:0;
margin:0;
}
</style>
<!-- Bootstrap Core CSS -->
<link href="css/bootstrap.min.css" rel="stylesheet">
<!-- Custom CSS -->
<link href="css/clean-blog.min.css" rel="stylesheet">
<!-- Custom Fonts -->
<link href="https://maxcdn.bootstrapcdn.com/font-awesome/4.1.0/css/font-awesome.min.css" rel="stylesheet" type="text/css">
<link href='https://fonts.googleapis.com/css?family=Lora:400,700,400italic,700italic' rel='stylesheet' type='text/css'>
<link href='https://fonts.googleapis.com/css?family=Open+Sans:300italic,400italic,600italic,700italic,800italic,400,300,600,700,800' rel='stylesheet' type='text/css'>
<!-- HTML5 Shim and Respond.js IE8 support of HTML5 elements and media queries -->
<!-- WARNING: Respond.js doesn't work if you view the page via file:// -->
<!--[if lt IE 9]>
<script src="https://oss.maxcdn.com/libs/html5shiv/3.7.0/html5shiv.js"></script>
<script src="https://oss.maxcdn.com/libs/respond.js/1.4.2/respond.min.js"></script>
<![endif]-->
<!-- Google Analytics -->
<script>
(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){
(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),
m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)
})(window,document,'script','//www.google-analytics.com/analytics.js','ga');
ga('create', 'UA-68269928-1', 'auto');
ga('send', 'pageview');
</script>
<!-- End Google Analytics -->
<script type="text/javascript" src="https://ajax.googleapis.com/ajax/libs/jquery/1.4.2/jquery.min.js"></script>
<script type="text/javascript">
$(document).ready(function()
{
$("#mymenu ul li").next("ul").hide();
$("#mymenu ul li").click(function()
{
$(this).next("ul").toggle();
});
});
</script>
</head>
<body>
<!-- Navigation -->
<nav class="navbar navbar-default navbar-custom navbar-fixed-top">
<div class="container-fluid">
<!-- Brand and toggle get grouped for better mobile display -->
<div class="navbar-header page-scroll">
<button type="button" class="navbar-toggle" data-toggle="collapse" data-target="#bs-example-navbar-collapse-1">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
<a class="navbar-brand" href="index.html"><div><img src=img/icon.png style="width:30px;height:30px;vertical-align:middle" alt="Hefeng Xu's Homepage"/>
Hefeng Xu's Homepage
</div></a>
</div>
<!-- Collect the nav links, forms, and other content for toggling -->
<div class="collapse navbar-collapse" id="bs-example-navbar-collapse-1">
<ul class="nav navbar-nav navbar-right">
<li><a class="navbar-nav" href="index.html">Home</a>
<div class="dropdown_1column">
<div class="col_1">
<ul class="simple">
<li><a href="index.html#ABOUT">About Me</a></li>
</ul>
</div>
</div>
</li>
<li>
<a class="navbar-nav" href="research.html">S&R</a>
<div class="dropdown_1column">
<div class="col_1">
<ul class="simple">
<li><a href="research.html#RESEARCH">Research Interests</a></li>
<li><a href="research.html#SEMINARS">Seminars</a></li>
<li><a href="research.html#TEACHING">Teaching</a></li>
<li><a href="research.html#NOTES">Notes</a></li>
<li><a href="research.html#PROJECTS">Projects</a></li>
<li><a href="research.html#PUBLICATIONS">Publications</a></li>
<li><a href="research.html#LINKS">Useful Links</a></li>
</ul>
</div>
</div>
</li>
<!-- <li> -->
<!-- <a href="gallery.html">Gallery</a> -->
<!-- </li> -->
<!-- <li> -->
<!-- <a href="#">Fun</a> -->
<!-- </li> -->
<li>
<a class="navbar-nav" href="relax.html">Relax</a>
<div class="dropdown_1column">
<div class="col_1">
<ul class="simple">
<li><a href="relax.html#PHOTO">Photographs</a></li>
<li><a href="relax.html#LE">LE Fan</a></li>
<li><a href="relax.html#Train">Trainholic</a></li>
</ul>
</div>
</div>
</li>
<li>
<a class="navbar-nav" href="contact.html">Contact</a>
<div class="dropdown_1column">
<div class="col_1">
<ul class="simple">
<li><a href="contact.html#MAIL">Email</a></li>
<li><a href="contact.html#GITHUB">Github</a></li>
<li><a href="contact.html#SOCIAL">Social Media</a></li>
<li><a href="contact.html#ADD">Address</a></li>
</ul>
</div>
</div>
</li>
</ul>
</div>
<!-- /.navbar-collapse -->
</div>
<!-- /.container -->
</nav>
<!-- Page Header -->
<!-- Set your background image for this header on the line below. -->
<header class="intro-header" style="background-image: url('img/post-bg.png')">
<div class="container">
<div class="row">
<div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1">
<div class="site-heading">
<h1>Just Think Aloud</h1>
<hr class="small">
<span class="subheading">I wanna know what I wanna know</span>
</div>
</div>
</div>
</div>
</header>
<!-- Post Content -->
<article>
<div class="container">
<div class="row">
<div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1">
<blockquote>
One should never try to prove anything that is not almost obvious.
</br>                        
-- Alexander Grothendieck
</blockquote>
</div>
<div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1">
<font size="6" style="text-decoration:underline">We can talk about physics and mathematics in Chinese, English, French and Japanese.</font>
</div>
<div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1" id="RESEARCH">
<h2>Research Interests</h2>
<ul>
<li>High Energy Physics-Theory/Phenomenology
<ul>
<li>
<a href="https://ncatlab.org/nlab/show/perturbative+quantum+field+theory" style="text-decoration:none">Perturbative Quantum Field Theory: Calculating High-loop Feynman Integrals</a>
</li>
<li>
Some basic ideas towards standard model
</li>
<!-- <li>
Generative Models
</li> -->
<!-- <li>
Probabilistic Graphical Models
</li> -->
</ul>
</li>
<li>Mathematical Physics
<ul>
<li>
<a href="https://www.researchgate.net/publication/335257778_Quantum_Mechanics_of_Particle_on_a_torus_knot_Curvature_and_Torsion_Effects" style="text-decoration:none">Topological Quantum Field Theory: Torus Knot Groups and Physics</a>
</li>
<li>
<a href="https://ncatlab.org/nlab/show/quantum+field+theory#higher_categories_in_quantum_field_theory" style="text-decoration:none">Categories: Topos and QFT</a>
</li>
<li>
<a href="https://arxiv.org/pdf/0809.0086.pdf" style="text-decoration:none">Intersection Theory: Intersection Number and Twisted De Rham Cohomology</a>
</li>
<li>
<a href="http://amypang.github.io/notes/repsofuqsl2.pdf" style="text-decoration:none">Representation of Quantum Groups</a>
</li>
</ul>
</li>
<li>Mathematics
<ul>
<li>
<a href="https://ncatlab.org/nlab/show/Calabi-Yau+category" style="text-decoration:none">Algebraic Geometry: Sheaves on Calabi-Yau Manifolds</a>
</li>
<li>
Mathematical Logic: <a href="https://ncatlab.org/nlab/show/ZFC" style="text-decoration:none">ZFC</a> and <a href="https://ncatlab.org/nlab/show/Grothendieck+universe" style="text-decoration:none">TG</a> theory.
</li>
<li>
Theoretical Computer Science: <a href="https://ncatlab.org/nlab/show/ZFC" style="text-decoration:none">ZFC</a> and <a href="https://ncatlab.org/nlab/show/Grothendieck+universe" style="text-decoration:none">TG</a> theory.
</li>
<li>
Computational Algebraic Geometry: <a href="https://www.mathematik.uni-kl.de/~boehm/singulargpispace/" style="text-decoration:none">Massively Parallelization via Singular/GPI-space framework </a>
</li>
<li>
Some reading/translation project: <a href="https://agrothendieck.github.io/divers/ReS.pdf" style="text-decoration:underline">Récoltes et Semailles</a> by A. Grothendieck
</li>
</ul>
</li>
<!-- <a href="#"> -->
<!-- <img class="img-responsive" src="img/post-sample-image.jpg" alt=""> -->
<!-- </a> -->
<!-- <span class="caption text-muted">To go places and do things that have never been done before – that’s what living is all about.</span> -->
</br></div>
<!-- <div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1">
<h2>Softwares</h2>
<ul>
<li>ICQ - an implementation of ICQ based on MFC. (<a href="https://github.com/hugochan/authentication" style="color:blue">get it</a>)
</li></br>
<li>rUDP - an implementation of reliable UDP. (<a href="https://github.com/hugochan/rUDP" style="color:blue">get it</a>)
</li></br>
<li>DVRouting - an implementation of distance vector routing protocol. (<a href="https://github.com/hugochan/DVRouting" style="color:blue">get it</a>)
</li>
</ul>
</br></div> -->
<!-- <div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1">
<h2>Talks</h2>
<ul>
<li>Clique percolation and resolution limits in community detection - Foundation of Network Science CSCI-6960 course presentation. (<a href="file/Clique percolation and resolution limits.pdf" style="color:blue">PDF</a>)
</li>
</ul>
</br></div> -->
<div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1" id="SEMINARS">
<h2>Seminars</h2>
Currently, I myself am reading some tough books to learn QFT, Algebraic Geometry, etc. So here are some reading seminars.
<p>Also, there are some acadamic communications in the form of seminars happening here. I also attend some of them.</p>
<ul>
<li>
Seminar on Peskin's <i>An Introduction to Quantum Field Theory</i>
<ul>
<li>
Organized by HX
</li>
<li>
Every Wednesday night, 2021 ~
</li>
</ul>
</li>
<li>
Seminar on Hartshorne's Exercises
<ul>
<li>
Given by GPJ,
</li>
<li>
Room 5107, every Sunday night, Spring Semester, 2021.
</li>
</ul>
</li>
<li>
<a href="https://researchseminars.org/seminar/DifCohTop" style="text-decoration:none" color="black">Seminar on Differential Cohesive Topos</a>
<ul>
<li>
Organized by Keyao Peng
</li>
<li>
Every Saturday GMT +8 = 01:30-03:00, Long Term, 2021
</li>
</ul>
</li>
<li>
Seminar on Arithmatic Geometry
<ul>
<li>
Organized by Yongqi Liang
</li>
<li>
Room 1418, Dept. of Math. Every Friday night, Spring Semester, 2021.
</li>
</ul>
</li>
<li>
Seminar on Homological Algebra
<ul>
<li>
Given by HX
</li>
<li>
Every Saturday night, Autumn Semester, 2020.
</li>
<li>
<a href="" style="text-decoration:underline">Lecture Notes(CURRENTLY UNAVALIABLE)</a>
</li>
</ul>
</li>
<li>
Seminar on Loop Integral and Phase Space Integral Calculation
<ul>
<li>
Organized by Yang Zhang, Lilin Yang, etc
</li>
<li>
<a href="https://indico.ihep.ac.cn/event/13033/" style="text-decoration:none" color="black">Homepage (Indico)</a>
</li>
<li>
Every Thursday night, since Oct.29, 2020.
</li>
<li>
Be advised to talk on Erik's Euler Characteristics, see here:<a href="https://arxiv.org/abs/1712.09215" style="text-decoration:none" color="black">arXiv: 1712.09215</a>
<li>
Regular talk with Jiuci Xu (UCSB) on this topic, maybe long term. Every Thursday morning.
</li>
</li>
</ul>
</li>
<li>
Seminar on Gravitational Wave
<ul>
<li>
Organized by Yang Zhang, Zonglin Mo, etc
</li>
<li>
PCFT-USTC, every Tuesday night, since Sept.28, 2021.
</li>
<li>
Be advised to talk on geometric and topological structure on the semi-flat space-time in the E3 space
</li>
</ul>
</li>
<li>
Seminar on Algebraic Geometry (I)
<ul>
<li>
Organized by Mao Sheng, GPJ, etc
</li>
<li>
Room 5406, every Saturday night, since Sept.25, 2021.
</li>
<li>
Mainly on Chapter 1, 4~7, Hartshorne's Book and some of EGA
</li>
</ul>
</li>
<li>
Seminar on Algebraic Geometry (II)
<ul>
<li>
Organized by Rourou Ma, MathBao, Shihuai Xie and HX
</li>
<li>
Tencent meeting, every Sunday night, HX joined on Apr.3, 2022.
</li>
<li>
Mainly on Algebraic Geometry and Arithmatic Curves, Qing Liu.
</li>
<li>
<a href="seminarAG2022spring.html" style="text-decoration:underline" color="black">Homepage of the Seminar</a>
</li>
</ul>
</li>
<li>
Seminar on Elliptic Curves
<ul>
<li>
Organized by Rourou Ma, Yushu Zhu, Shihuai Xie and HX
</li>
<li>
Tencent meeting, every Wednesday night.
</li>
<li>
Mainly on Elliptic Curves, Huesemuller.
</li>
<li>
<a href="seminarEC2022spring.html" style="text-decoration:underline" color="black">Homepage of the Seminar</a>
</li>
</ul>
</li>
<li>
Seminar on KMOC formalism
<ul>
<li>
Organized by Yang Zhang, Xiaoran Zhao and Zhengwen Liu
</li>
<li>
ZOOM, every Friday night.
</li>
<li>
Mainly on <a href="https://arxiv.org/pdf/1811.10950.pdf" style="text-decoration:underline" color="black">arXiv:1811.10950</a>
</li>
<li>
<a href="seminarEC2022spring.html" style="text-decoration:underline" color="black">Homepage of the Seminar</a>
</li>
</ul>
</li>
<li>
Seminar on Calabi-Yau Manifolds and Mirror Symmetry
<ul>
<li>
Organized by Rourou Ma, Yushu Zhu, Shihuai Xie and HX
</li>
<li>
Tencent meeting, every Saturday night.
</li>
<li>
On both sides: Mathematically with the <a href="https://www.bimsa.cn/newsinfo/601288.html" style="text-decoration:underline" color="black">lecture notes by Zhiwei Zheng in BIMSA </a>
</li>
<li>
<a href="hms.html" style="text-decoration:underline" color="black">Homepage of the Seminar</a>
</li>
</ul>
</li>
</ul>
</div>
<div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1" id="TEACHING">
<h2>Teaching</h2>
<font size="100" color="red"><i style="text-decoration:underline" color="red">Not Yet By Far</i></font>
</div>
<div class="col-lg-8 col-lg-offset-2 col-md-10 col-md-offset-1" id="NOTES">
<h2>Notes</h2>Here's the archive of the notes I've made in the past few years, Including lecture notes of the courses in USTC and some reading notes. You may feel free to take them. I'd be glad if you report the bugs to me.
<ul>
<li>
<details class="menu" close>
<summary style="text-decoration:underline">Course Notes in USTC <font size="2">(Click to expand)</font></summary>
<ul>
<li>
Analytic Mechanics (A)
<ul>
<li>
Given by Asst.Prof. Haijun Pan, autumn 2020.
<details open>
<summary style="text-decoration:underline" >
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Electrodynamics
<ul>
<li>
Given by Prof. Xin Tao, Spring 2021. <a href="http://staff.ustc.edu.cn/~xtao/courses/ce/notes/ce.pdf" style="text-decoration:none"><font color="red">(Official note by Prof. X.Tao)</font></a>
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Thermaldynamics and Statistical Physics (A)
<ul>
<li>
Given by Lec. Chuncheng Wang, spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Solid State Physics (B)
<ul>
<li>
Given by Prof. Xinhua Peng, spring 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Quantum Mechanics (A)
<ul>
<li>
Given by Prof. Yang Zhang and Asst.Prof Xiangfa Zhou, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Advanced Quantum Mechanics
<ul>
<li>
Given by Asst.Prof. Renyou Zhang, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Quantum Field Theory (I)
<ul>
<li>
Given by Prof. Daoneng Gao, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
<li>
<a href="courses/2021_Aut/QFT_I/The_Quantization_of_vector_field.pdf" style="text-decoration:none">
Course Thesis on Quantization of Fields of Spin 1 Particles
</a>
</li>
</ul>
</li>
<li>
Quantum Field Theory (II)
<ul>
<li>
Given by Prof. Daoneng Gao & Prof. Yang Zhang, Spring 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Equations in Mathematical Physics (A)
<ul>
<li>
Given by Asst.Prof. Yongbing Zhang, Spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Computational Physics (A)
<ul>
<li>
Given by Prof. Zejun Ding, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
General Relativity and Cosmology
<ul>
<li>
Given by Prof. Liming Cao, Spring 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Modern Methods in Mathematical Physics
<ul>
<li>
Given by Prof. Minxin Huang, Autumn 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Analysis (B1)
<ul>
<li>
Given by Prof. Xin Li & Assi.Prof Hao Yin, autumn 2019.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Analysis (B2)
<ul>
<li>
Given by Prof. Yi Cheng, spring 2020.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Analysis (B3)
<ul>
<li>
Given by Prof. Qing Chen, autumn 2020.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Real Analysis (H)
<ul>
<li>
Given by Prof. Guangbin Ren, spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Complex Analysis (H)
<ul>
<li>
Given by Prof. Haozhao Li, spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Function Theory of Several Complex Variables
<ul>
<li>
Given by Asst.Prof. Xieping Wang, autumn 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Advanced Real Analysis
<ul>
<li>
Given by Asst.Prof. Xieping Wang, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Functional Analysis (H)
<ul>
<li>
Given by Prof. Wen Huang, autumn 2020.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Linear Algebra (B2)
<ul>
<li>
Given by Prof. Xiaowu Chen, autumn 2020.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Probability and Mathematical Statistics
<ul>
<li>
Given by Asst.Prof. Tiantian Mao, autumn 2020.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Modern Algebra (H)
<ul>
<li>
Given by Prof. Xiaowu Chen, spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Lie Algebra and Their Representations
<ul>
<li>
Given by Prof. Hongjia Chen, spring 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Algebra (III)
<ul>
<li>
Given by Prof. Lei Zhang, autumn 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Topology (H)
<ul>
<li>
Given by Prof. Zuoqin Wang, spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Algebraic Topology
<ul>
<li>
Given by Asst.Prof. Bailin Song, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Differential Geometry
<ul>
<li>
Given by Prof. Shiping Liu, autumn 2020.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Riemannian Geometry
<ul>
<li>
Given by Prof. Shiping Liu, spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Differential Manifolds
<ul>
<li>
Given by Prof. Zuoqin Wang, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Complex Geometry
<ul>
<li>
Given by Asst.Prof. Chen Zhao, autumn 2022.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Riemann Surface
<ul>
<li>
Given by Asst.Prof Bin Xu, Postdoc Sicheng Lu, spring 2023.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Algebraic Geometry (I)
<ul>
<li>
Given by Prof. Mao Sheng, autumn 2020.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Algebraic Geometry (II)
<ul>
<li>
Given by Prof. Mao Sheng, spring 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Algebraic Geometry (III)
<ul>
<li>
Given by Prof. Mao Sheng, autumn 2021.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Computational Algebraic Geometry
<ul>
<li>
Given by Prof. Falai Chen, spring 2023.
</li>
<li>
<a href="" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Modern Mathematical Methods
<ul>
<li>
Given by Prof. Sen Hu, spring 2023.
</li>
<li>
<a href="courses/2023_Spr/Note_for_Modern_Mathematical_Methods (1).pdf" style="text-decoration:none">
NOTE HERE
</a>
</li>
</ul>
</li>
<li>
Quantum Field Theory (For Dept. of Mathematics)
<ul>
<li>
Given by Prof. Sen Hu, autumn 2023.
</li>