# MATH 865: Advanced Topics in Geometry | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_865)

## Dataset

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## course

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### subjects

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### title

ADVANCED TOPICS IN GEOMETRY

### description

Selected from advanced projective geometry, non-Euclidean geometry, Riemannian geometry, distance geometry and the geometry of convex surfaces, geometry of numbers.

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MATH 865 covers selected advanced topics in geometry including projective, non-Euclidean, Riemannian, distance, and convex surface geometry.

### llm topics

* Projective Geometry
* Non-Euclidean Geometry
* Riemannian Geometry
* Distance Geometry
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* Geometry of Numbers

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#### quick take

Recent recorded grades — Fall 2019: 4.00 GPA, 100.0% A/AB (n=10 letter grades); Spring 2022: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Fall 2024: 4.00 GPA, 100.0% A/AB (n=33 letter grades).

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```

### grades

```json
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]
```

### statistics

#### gpa

4

#### graded

228

#### counts

* 228
* 0
* 0
* 0
* 0
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_361de6b8d0f9767c1160bc86-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_361de6b8d0f9767c1160bc86-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_361de6b8d0f9767c1160bc86-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_361de6b8d0f9767c1160bc86-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_361de6b8d0f9767c1160bc86-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_361de6b8d0f9767c1160bc86-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

4

#### count

228

#### university

##### size

4329

##### gpa Percentile

96

##### count Percentile

65

##### median Count

139

##### 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 | 20    | false   |
| 2.8–3.2 | 423   | false   |
| 3.2–3.6 | 1364  | false   |
| 3.6–4.0 | 2522  | true    |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 104,
      "gpaPercentile": 91,
      "countPercentile": 60,
      "medianCount": 154.5,
      "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": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 32,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 20,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 47,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1072

##### term

1072

##### gpa

4

##### count

14

##### departments

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

#### 1082

##### term

1082

##### gpa

4

##### count

11

##### departments

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

#### 1092

##### term

1092

##### gpa

4

##### count

12

##### departments

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

#### 1094

##### term

1094

##### gpa

4

##### count

12

##### departments

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

#### 1102

##### term

1102

##### gpa

4

##### count

19

##### departments

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

#### 1112

##### term

1112

##### gpa

4

##### count

8

##### departments

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

#### 1122

##### term

1122

##### gpa

4

##### count

14

##### departments

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

#### 1144

##### term

1144

##### gpa

4

##### count

15

##### departments

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

#### 1152

##### term

1152

##### gpa

4

##### count

9

##### departments

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

#### 1154

##### term

1154

##### gpa

4

##### count

16

##### departments

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

#### 1162

##### term

1162

##### gpa

4

##### count

16

##### departments

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

#### 1172

##### term

1172

##### gpa

4

##### count

13

##### departments

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

#### 1174

##### term

1174

##### gpa

4

##### count

10

##### departments

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

#### 1202

##### term

1202

##### gpa

4

##### count

10

##### departments

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

#### 1224

##### term

1224

##### gpa

4

##### count

16

##### departments

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

#### 1252

##### term

1252

##### gpa

4

##### count

33

##### university

###### size

1333

###### gpa Percentile

96

###### count Percentile

7

###### median Count

69

###### 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 | 14    | false   |
| 2.8–3.2 | 115   | false   |
| 3.2–3.6 | 431   | false   |
| 3.6–4.0 | 773   | true    |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 100,
      "countPercentile": 5,
      "medianCount": 74,
      "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": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 20,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 2,
          "current": true
        }
      ]
    }
  }
]
```

### benchmarks

#### all

##### school

###### size

4329

###### gpa

3.6209718428395847

###### top Share

79.43381081768673

###### count

139

##### MATH

###### size

104

###### gpa

3.4587018276468076

###### top Share

70.14359687969967

###### count

154.5

#### terms

##### 1072

###### school

###### size

723

###### gpa

3.344595727439471

###### top Share

62.012941427864526

###### count

67

###### MATH

###### size

21

###### gpa

2.878188611674867

###### top Share

40.4748751710427

###### count

115

##### 1082

###### school

###### size

723

###### gpa

3.3583896732335172

###### top Share

62.932746798940194

###### count

68

###### MATH

###### size

20

###### gpa

2.8603540012311925

###### top Share

39.28661748894661

###### count

122

##### 1092

###### school

###### size

732

###### gpa

3.374660709520374

###### top Share

63.690339324346596

###### count

70

###### MATH

###### size

22

###### gpa

2.8820162698417926

###### top Share

39.71597770466243

###### count

131

##### 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

##### 1102

###### school

###### size

774

###### gpa

3.36712622366007

###### top Share

63.703228532165696

###### count

67

###### MATH

###### size

27

###### gpa

2.936619140855453

###### top Share

42.28372460948232

###### count

76

##### 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

##### 1122

###### school

###### size

804

###### gpa

3.3737149752667013

###### top Share

63.65118790117902

###### count

70

###### MATH

###### size

27

###### gpa

2.898067749128924

###### top Share

42.09489165698714

###### count

103

##### 1144

###### school

###### size

878

###### gpa

3.4092443327803017

###### top Share

65.95978235963416

###### count

64

###### MATH

###### size

30

###### gpa

2.926152797086596

###### top Share

42.17363619414386

###### count

79

##### 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

##### 1162

###### school

###### size

954

###### gpa

3.43726781345039

###### top Share

68.05645304987395

###### count

64.5

###### MATH

###### size

36

###### gpa

3.1059509777204544

###### top Share

50.071044743474

###### count

74.5

##### 1172

###### school

###### size

991

###### gpa

3.465129042641772

###### top Share

69.42600667567366

###### count

67

###### MATH

###### size

36

###### gpa

3.098601909983034

###### top Share

48.67573746500224

###### count

66

##### 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

##### 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

##### 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

##### 1252

###### school

###### size

1333

###### gpa

3.619494049739118

###### top Share

79.71442190500672

###### count

69

###### MATH

###### size

43

###### gpa

3.185692541204979

###### top Share

54.14175342403773

###### count

74

## instructor Trends

```json
[
  {
    "uid": "instructor_180bf94a3d2f4343128d8704",
    "name": "JEFF VIACLOVSKY",
    "count": 88,
    "terms": [
      {
        "term": "1082",
        "count": 11,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1102",
        "count": 19,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1122",
        "count": 14,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1144",
        "count": 15,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1162",
        "count": 16,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1172",
        "count": 13,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_eb98a96c05ac474b321e9170",
    "name": "SEAN PAUL",
    "count": 58,
    "terms": [
      {
        "term": "1072",
        "count": 14,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1112",
        "count": 8,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1154",
        "count": 16,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1174",
        "count": 10,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1202",
        "count": 10,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_cfd7c53959806f45e66d2292",
    "name": "AUTUMN KENT",
    "count": 33,
    "terms": [
      {
        "term": "1252",
        "count": 33,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_5d47fd39944a27ba3eef69cd",
    "name": "XIUXIONG CHEN",
    "count": 24,
    "terms": [
      {
        "term": "1092",
        "count": 12,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1094",
        "count": 12,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_cd2c0c17cab3cc2b827bfdb2",
    "name": "ALEX WALDRON",
    "count": 16,
    "terms": [
      {
        "term": "1224",
        "count": 16,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_76f9c7d76a0cb5d9c1ddc816",
    "name": "BING WANG",
    "count": 9,
    "terms": [
      {
        "term": "1152",
        "count": 9,
        "sections": 1,
        "gpa": 4
      }
    ]
  }
]
```

## following

None recorded.
