# MATH 863: Advanced Topics in Algebraic Geometry | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_863)

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### title

ADVANCED TOPICS IN ALGEBRAIC GEOMETRY

### description

Geometry of several complex variables; algebraic groups, abelian varieties; topological aspects of algebraic geometry, including sheaf theory and homology theory; advanced theory of local rings; intersection theory of algebraic varieties.

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Advanced Topics in Algebraic Geometry covers complex variables, algebraic groups, sheaf theory, and intersection theory.

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* Topological aspects of algebraic geometry
* Sheaf theory and homology theory
* Advanced theory of local rings
* Intersection theory of algebraic varieties

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Recent recorded grades — Spring 2022: 4.00 GPA, 100.0% A/AB (n=11 letter grades); Spring 2023: 4.00 GPA, 100.0% A/AB (n=33 letter grades); Spring 2025: 4.00 GPA, 100.0% A/AB (n=31 letter grades).

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```

### grades

```json
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]
```

### statistics

#### gpa

3.979

#### graded

263

#### counts

* 253
* 9
* 1
* 0
* 0
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_138436eae504383933935c49-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_138436eae504383933935c49-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_138436eae504383933935c49-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_138436eae504383933935c49-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_138436eae504383933935c49-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_138436eae504383933935c49-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.9790874524714828

#### count

263

#### university

##### size

4552

##### gpa Percentile

92

##### count Percentile

70

##### median Count

133

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 12    | false   |
| 2.8–3.2 | 351   | false   |
| 3.2–3.6 | 1355  | false   |
| 3.6–4.0 | 2834  | true    |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 113,
      "gpaPercentile": 88,
      "countPercentile": 67,
      "medianCount": 143,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 4,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 27,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 31,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 51,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1074

##### term

1074

##### gpa

4

##### count

11

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1084

##### term

1084

##### gpa

4

##### count

16

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1094

##### term

1094

##### gpa

4

##### count

9

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1112

##### term

1112

##### gpa

4

##### count

12

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1134

##### term

1134

##### gpa

4

##### count

16

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1152

##### term

1152

##### gpa

4

##### count

23

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1154

##### term

1154

##### gpa

3.9482758620689653

##### count

29

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1174

##### term

1174

##### gpa

4

##### count

16

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1184

##### term

1184

##### gpa

4

##### count

16

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1202

##### term

1202

##### gpa

3.892857142857143

##### count

14

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1204

##### term

1204

##### gpa

3.9375

##### count

16

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1212

##### term

1212

##### gpa

3.85

##### count

10

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1224

##### term

1224

##### gpa

4

##### count

11

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1234

##### term

1234

##### gpa

4

##### count

33

##### university

###### size

1188

###### gpa Percentile

95

###### count Percentile

7

###### median Count

65

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 3     | false   |
| 2.4–2.8 | 17    | false   |
| 2.8–3.2 | 144   | false   |
| 3.2–3.6 | 374   | false   |
| 3.6–4.0 | 650   | true    |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 41,
      "gpaPercentile": 100,
      "countPercentile": 15,
      "medianCount": 67,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 2,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 13,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 14,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 7,
          "current": true
        }
      ]
    }
  }
]
```

#### 1254

##### term

1254

##### gpa

4

##### count

31

##### university

###### size

1289

###### gpa Percentile

96

###### count Percentile

3

###### median Count

66

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 17    | false   |
| 2.8–3.2 | 128   | false   |
| 3.2–3.6 | 379   | false   |
| 3.6–4.0 | 765   | true    |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 39,
      "gpaPercentile": 100,
      "countPercentile": 5,
      "medianCount": 89,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 6,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 16,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 13,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 4,
          "current": true
        }
      ]
    }
  }
]
```

### benchmarks

#### all

##### school

###### size

4552

###### gpa

3.649453738286422

###### top Share

81.18741000062673

###### count

133

##### MATH

###### size

113

###### gpa

3.5048803005549636

###### top Share

72.3149650712573

###### count

143

#### terms

##### 1074

###### school

###### size

695

###### gpa

3.3616924722887376

###### top Share

63.22509110105764

###### count

69

###### MATH

###### size

17

###### gpa

2.821339129045922

###### top Share

38.66654769268061

###### count

133

##### 1084

###### school

###### size

720

###### gpa

3.3670742938849725

###### top Share

63.42064564712246

###### count

70

###### MATH

###### size

22

###### gpa

2.977459424628873

###### top Share

44.52710820759676

###### count

88.5

##### 1094

###### school

###### size

758

###### gpa

3.3891454428111527

###### top Share

64.36369814389255

###### count

71

###### MATH

###### size

19

###### gpa

2.861322177541941

###### top Share

40.26350030907326

###### count

108

##### 1112

###### school

###### size

805

###### gpa

3.3737773184830386

###### top Share

63.91039244872789

###### count

66

###### MATH

###### size

26

###### gpa

2.9941347625171355

###### top Share

43.79682105650899

###### count

87

##### 1134

###### school

###### size

852

###### gpa

3.4138934207568203

###### top Share

66.35946578182744

###### count

66

###### MATH

###### size

26

###### gpa

2.938004331770204

###### top Share

42.318323348030226

###### count

83.5

##### 1152

###### school

###### size

918

###### gpa

3.408733538594633

###### top Share

66.06693005846735

###### count

65

###### MATH

###### size

34

###### gpa

3.0803080141506425

###### top Share

49.72677618758506

###### count

82

##### 1154

###### school

###### size

935

###### gpa

3.4282378385810093

###### top Share

67.66674668721691

###### count

63

###### MATH

###### size

33

###### gpa

2.9834698949629033

###### top Share

46.71989715257013

###### count

69

##### 1174

###### school

###### size

955

###### gpa

3.4597947384071412

###### top Share

69.5290038366363

###### count

69

###### MATH

###### size

32

###### gpa

2.992971960864239

###### top Share

44.393513280464695

###### count

89

##### 1184

###### school

###### size

1010

###### gpa

3.47925290354517

###### top Share

70.86270937115944

###### count

68

###### MATH

###### size

36

###### gpa

3.0650838986714333

###### top Share

47.42689290604571

###### count

83.5

##### 1202

###### school

###### size

1102

###### gpa

3.5102605987403313

###### top Share

72.78244569053733

###### count

68

###### MATH

###### size

40

###### gpa

3.1467748801316944

###### top Share

52.57847974231038

###### count

90.5

##### 1204

###### school

###### size

1012

###### gpa

3.703747431523761

###### top Share

84.59811226304916

###### count

65.5

###### MATH

###### size

29

###### gpa

3.478717830475146

###### top Share

69.61236805388549

###### count

83

##### 1212

###### school

###### size

1111

###### gpa

3.5856416028074487

###### top Share

77.58926748660845

###### count

68

###### MATH

###### size

41

###### gpa

3.3211331103538813

###### top Share

59.85093623917685

###### count

87

##### 1224

###### school

###### size

1171

###### gpa

3.5627882428500937

###### top Share

76.37271640560496

###### count

64

###### MATH

###### size

34

###### gpa

3.1555898753466907

###### top Share

53.444319815085976

###### count

87.5

##### 1234

###### school

###### size

1188

###### gpa

3.5799441677552393

###### top Share

77.18256448537606

###### count

65

###### MATH

###### size

41

###### gpa

3.178489266862151

###### top Share

56.06874885619616

###### count

67

##### 1254

###### school

###### size

1289

###### gpa

3.6126423469389106

###### top Share

79.48050408754871

###### count

66

###### MATH

###### size

39

###### gpa

3.180435541912479

###### top Share

53.878371816747475

###### count

89

## instructor Trends

```json
[
  {
    "uid": "instructor_efd230d48fca1e6778221a38",
    "name": "DMYTRO ARINKIN",
    "count": 71,
    "terms": [
      {
        "term": "1134",
        "count": 16,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1154",
        "count": 29,
        "sections": 1,
        "gpa": 3.9482758620689653
      },
      {
        "term": "1184",
        "count": 16,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1212",
        "count": 10,
        "sections": 1,
        "gpa": 3.85
      }
    ]
  },
  {
    "uid": "instructor_59aac856cf6ad4bb42c17bff",
    "name": "ANDREI CALDARARU",
    "count": 60,
    "terms": [
      {
        "term": "1074",
        "count": 11,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1174",
        "count": 16,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1234",
        "count": 33,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_b1b47085a183e0ba97177f77",
    "name": "THOMAS YAHL",
    "count": 31,
    "terms": [
      {
        "term": "1254",
        "count": 31,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_9eb4753436927be7d646f7cf",
    "name": "MICHAEL KEMENY",
    "count": 25,
    "terms": [
      {
        "term": "1202",
        "count": 14,
        "sections": 1,
        "gpa": 3.892857142857143
      },
      {
        "term": "1224",
        "count": 11,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_e93d16d5b70a4a1936105233",
    "name": "LEV BORISOV",
    "count": 25,
    "terms": [
      {
        "term": "1084",
        "count": 16,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1094",
        "count": 9,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_71ef50f4a56c330c438c8692",
    "name": "DANIEL ERMAN",
    "count": 23,
    "terms": [
      {
        "term": "1152",
        "count": 23,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_3a2d0406f2d6ff8371a7f4e9",
    "name": "DANIEL COREY",
    "count": 16,
    "terms": [
      {
        "term": "1204",
        "count": 16,
        "sections": 1,
        "gpa": 3.9375
      }
    ]
  },
  {
    "uid": "instructor_0be3bb65f113d97e772e2f6d",
    "name": "SUKHENDU MEHROTRA",
    "count": 12,
    "terms": [
      {
        "term": "1112",
        "count": 12,
        "sections": 1,
        "gpa": 4
      }
    ]
  }
]
```

## following

None recorded.
